169688790396225 has 45 divisors (see below), whose sum is σ = 314323383499257. Its totient is φ = 90500375576160.

The previous prime is 169688790396173. The next prime is 169688790396227. The reversal of 169688790396225 is 522693097886961.

The square root of 169688790396225 is 13026465.

It is a perfect power (a square), and thus also a powerful number.

169688790396225 is a `hidden beast` number, since 1 + 6 + 9 + 68 + 87 + 90 + 396 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 320846343489 + 169367944052736 = 566433^2 + 13014144^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 169688790396225 - 2²⁷ = 169688656178497 is a prime.

It is a super-2 number, since 2×169688790396225² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (169688790396227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 586046187 + ... + 586335663.

Almost surely, 2^{169688790396225} is an apocalyptic number.

169688790396225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

169688790396225 is the 13026465-th square number.

169688790396225 is the 6513233-rd centered octagonal number.

It is an amenable number.

169688790396225 is a deficient number, since it is larger than the sum of its proper divisors (144634593103032).

169688790396225 is an frugal number, since it uses more digits than its factorization.

169688790396225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578976 (or 289485 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

169688790396225 divided by its sum of digits (81) gives a square (2094923338225 = 1447385²).

The spelling of 169688790396225 in words is "one hundred sixty-nine trillion, six hundred eighty-eight billion, seven hundred ninety million, three hundred ninety-six thousand, two hundred twenty-five".