125776146162816 has 768 divisors, whose sum is σ = 405267342480000. Its totient is φ = 38708027228160.

The previous prime is 125776146162757. The next prime is 125776146162869. The reversal of 125776146162816 is 618261641677521.

125776146162816 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 7 + 6 + 1 + 4 + 616 + 2 + 8 + 1 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3929383420 + ... + 3929415428.

Almost surely, 2^{125776146162816} is an apocalyptic number.

125776146162816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125776146162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202633671240000).

125776146162816 is an abundant number, since it is smaller than the sum of its proper divisors (279491196317184).

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

125776146162816 is a wasteful number, since it uses less digits than its factorization.

125776146162816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32227 (or 32203 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 125776146162816 in words is "one hundred twenty-five trillion, seven hundred seventy-six billion, one hundred forty-six million, one hundred sixty-two thousand, eight hundred sixteen".