188924969025 has 135 divisors (see below), whose sum is σ = 379455357369. Its totient is φ = 92884034880.

The previous prime is 188924969017. The next prime is 188924969059. The reversal of 188924969025 is 520969429881.

The square root of 188924969025 is 434655.

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

It can be written as a sum of positive squares in 4 ways, for example, as 48695690241 + 140229278784 = 220671^2 + 374472^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 188924969025 - 2³ = 188924969017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 254272804 + ... + 254273546.

Almost surely, 2^188924969025 is an apocalyptic number.

188924969025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

188924969025 is the 434655-th square number.

188924969025 is the 217328-th centered octagonal number.

It is an amenable number.

188924969025 is an abundant number, since it is smaller than the sum of its proper divisors (190530388344).

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

188924969025 is an frugal number, since it uses more digits than its factorization.

188924969025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 188924969025 in words is "one hundred eighty-eight billion, nine hundred twenty-four million, nine hundred sixty-nine thousand, twenty-five".