125814927616 has 81 divisors (see below), whose sum is σ = 292232851239. Its totient is φ = 53903657472.

The previous prime is 125814927599. The next prime is 125814927673. The reversal of 125814927616 is 616729418521.

The square root of 125814927616 is 354704.

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

It is a super-2 number, since 2×125814927616² (a number of 23 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39725265 + ... + 39728431.

Almost surely, 2^125814927616 is an apocalyptic number.

125814927616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125814927616 is the 354704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125814927616

125814927616 is an abundant number, since it is smaller than the sum of its proper divisors (166417923623).

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

125814927616 is an frugal number, since it uses more digits than its factorization.

125814927616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6364 (or 3176 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 52.

The spelling of 125814927616 in words is "one hundred twenty-five billion, eight hundred fourteen million, nine hundred twenty-seven thousand, six hundred sixteen".