125169274433664 has 192 divisors, whose sum is σ = 371329008747840. Its totient is φ = 40441081448448.

The previous prime is 125169274433659. The next prime is 125169274433743. The reversal of 125169274433664 is 466334472961521.

125169274433664 is a `hidden beast` number, since 1 + 2 + 5 + 16 + 92 + 7 + 443 + 36 + 64 = 666.

125169274433664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5627239 + ... + 16792985.

It is an arithmetic number, because the mean of its divisors is an integer number (1934005253895).

Almost surely, 2^{125169274433664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125169274433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185664504373920).

125169274433664 is an abundant number, since it is smaller than the sum of its proper divisors (246159734314176).

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

125169274433664 is a wasteful number, since it uses less digits than its factorization.

125169274433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11166067 (or 11166052 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 125169274433664 in words is "one hundred twenty-five trillion, one hundred sixty-nine billion, two hundred seventy-four million, four hundred thirty-three thousand, six hundred sixty-four".