125928458496 has 81 divisors (see below), whose sum is σ = 363131909049. Its totient is φ = 41970475008.

The previous prime is 125928458483. The next prime is 125928458501. The reversal of 125928458496 is 694854829521.

The square root of 125928458496 is 354864.

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

125928458496 is a `hidden beast` number, since 1 + 2 + 5 + 92 + 8 + 4 + 58 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20391840000 + 105536618496 = 142800^2 + 324864^2 .

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 17029776 + ... + 17037168.

Almost surely, 2^125928458496 is an apocalyptic number.

125928458496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125928458496 is the 354864-th square number.

It is an amenable number.

125928458496 is an abundant number, since it is smaller than the sum of its proper divisors (237203450553).

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

125928458496 is an frugal number, since it uses more digits than its factorization.

125928458496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14808 (or 7398 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 125928458496 in words is "one hundred twenty-five billion, nine hundred twenty-eight million, four hundred fifty-eight thousand, four hundred ninety-six".