125091022688352 has 432 divisors, whose sum is σ = 438188118902352. Its totient is φ = 33634771107840.

The previous prime is 125091022688327. The next prime is 125091022688353. The reversal of 125091022688352 is 253886220190521.

125091022688352 is a `hidden beast` number, since 1 + 2 + 50 + 9 + 10 + 226 + 8 + 8 + 352 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125091022688353) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3781110403 + ... + 3781143485.

It is an arithmetic number, because the mean of its divisors is an integer number (1014324349311).

Almost surely, 2^{125091022688352} is an apocalyptic number.

125091022688352 is a gapful number since it is divisible by the number (12) 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 125091022688352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219094059451176).

125091022688352 is an abundant number, since it is smaller than the sum of its proper divisors (313097096214000).

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

125091022688352 is a wasteful number, since it uses less digits than its factorization.

125091022688352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48891 (or 48873 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 125091022688352 in words is "one hundred twenty-five trillion, ninety-one billion, twenty-two million, six hundred eighty-eight thousand, three hundred fifty-two".