125466541056 has 704 divisors, whose sum is σ = 415033344000. Its totient is φ = 37265080320.

The previous prime is 125466541043. The next prime is 125466541111. The reversal of 125466541056 is 650145664521.

125466541056 is a `hidden beast` number, since 1 + 2 + 54 + 6 + 6 + 541 + 0 + 56 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1151069130 + ... + 1151069238.

It is an arithmetic number, because the mean of its divisors is an integer number (589536000).

Almost surely, 2^125466541056 is an apocalyptic number.

125466541056 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 125466541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207516672000).

125466541056 is an abundant number, since it is smaller than the sum of its proper divisors (289566802944).

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

125466541056 is a wasteful number, since it uses less digits than its factorization.

125466541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 125466541056 in words is "one hundred twenty-five billion, four hundred sixty-six million, five hundred forty-one thousand, fifty-six".