125830946304 has 360 divisors, whose sum is σ = 436099105728. Its totient is φ = 34790031360.

The previous prime is 125830946257. The next prime is 125830946309. The reversal of 125830946304 is 403649038521.

125830946304 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 3 + 0 + 9 + 4 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 125830946304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125830946309) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 6990564 + ... + 7008540.

Almost surely, 2^125830946304 is an apocalyptic number.

125830946304 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 125830946304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218049552864).

125830946304 is an abundant number, since it is smaller than the sum of its proper divisors (310268159424).

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

125830946304 is a wasteful number, since it uses less digits than its factorization.

125830946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18046 (or 18020 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 125830946304 in words is "one hundred twenty-five billion, eight hundred thirty million, nine hundred forty-six thousand, three hundred four".