89469783225 has 225 divisors, whose sum is σ = 184075722523. Its totient is φ = 42957699840.

The previous prime is 89469783217. The next prime is 89469783229. The reversal of 89469783225 is 52238796498.

The square root of 89469783225 is 299115.

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

89469783225 is a `hidden beast` number, since 89 + 469 + 78 + 3 + 2 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 9749390121 + 79720393104 = 98739^2 + 282348^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 89469783225 - 2³ = 89469783217 is a prime.

It is a super-2 number, since 2×89469783225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (52254720) is a multiple of the sum of its prime divisors (48).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (89469783229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 3889990564 + ... + 3889990586.

Almost surely, 2^89469783225 is an apocalyptic number.

89469783225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

89469783225 is the 299115-th square number.

89469783225 is the 149558-th centered octagonal number.

It is an amenable number.

89469783225 is an abundant number, since it is smaller than the sum of its proper divisors (94605939298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89469783225 is an frugal number, since it uses more digits than its factorization.

89469783225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 48 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 89469783225 in words is "eighty-nine billion, four hundred sixty-nine million, seven hundred eighty-three thousand, two hundred twenty-five".