125170749010944 has 2112 divisors, whose sum is σ = 483604896320000. Its totient is φ = 32109313130496.

The previous prime is 125170749010913. The next prime is 125170749010961. The reversal of 125170749010944 is 449010947071521.

125170749010944 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 7 + 0 + 7 + 490 + 109 + 44 = 666.

It is a super-2 number, since 2×125170749010944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41053048332 + ... + 41053051380.

Almost surely, 2^{125170749010944} is an apocalyptic number.

125170749010944 is a gapful number since it is divisible by the number (14) 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 125170749010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241802448160000).

125170749010944 is an abundant number, since it is smaller than the sum of its proper divisors (358434147309056).

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

125170749010944 is an equidigital number, since it uses as much as digits as its factorization.

125170749010944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 125170749010944 in words is "one hundred twenty-five trillion, one hundred seventy billion, seven hundred forty-nine million, ten thousand, nine hundred forty-four".