19364972319225 has 81 divisors (see below), whose sum is σ = 37559779911693. Its totient is φ = 9533102379840.

The previous prime is 19364972319211. The next prime is 19364972319257. The reversal of 19364972319225 is 52291327946391.

The square root of 19364972319225 is 4400565.

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

19364972319225 is a `hidden beast` number, since 1 + 9 + 3 + 6 + 4 + 97 + 2 + 319 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4991350261689 + 14373622057536 = 2234133^2 + 3791256^2 .

It is not a de Polignac number, because 19364972319225 - 2¹⁹ = 19364971794937 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 858098892 + ... + 858121458.

Almost surely, 2^{19364972319225} is an apocalyptic number.

19364972319225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19364972319225 is the 4400565-th square number.

19364972319225 is the 2200283-rd centered octagonal number.

It is an amenable number.

19364972319225 is a deficient number, since it is larger than the sum of its proper divisors (18194807592468).

19364972319225 is an frugal number, since it uses more digits than its factorization.

19364972319225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45176 (or 22588 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 19364972319225 in words is "nineteen trillion, three hundred sixty-four billion, nine hundred seventy-two million, three hundred nineteen thousand, two hundred twenty-five".