125648506368 has 1200 divisors, whose sum is σ = 487308914400. Its totient is φ = 32188907520.

The previous prime is 125648506331. The next prime is 125648506433. The reversal of 125648506368 is 863605846521.

125648506368 is a `hidden beast` number, since 12 + 5 + 64 + 8 + 506 + 3 + 68 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1721212380 + ... + 1721212452.

It is an arithmetic number, because the mean of its divisors is an integer number (406090762).

Almost surely, 2^125648506368 is an apocalyptic number.

125648506368 is a gapful number since it is divisible by the number (18) 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 125648506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243654457200).

125648506368 is an abundant number, since it is smaller than the sum of its proper divisors (361660408032).

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

125648506368 is an frugal number, since it uses more digits than its factorization.

125648506368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 125648506368 in words is "one hundred twenty-five billion, six hundred forty-eight million, five hundred six thousand, three hundred sixty-eight".