123525252864 has 432 divisors, whose sum is σ = 402973945920. Its totient is φ = 36320993280.

The previous prime is 123525252859. The next prime is 123525252901. The reversal of 123525252864 is 468252525321.

123525252864 is a `hidden beast` number, since 1 + 23 + 52 + 52 + 528 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116422894 + ... + 116423954.

It is an arithmetic number, because the mean of its divisors is an integer number (932810060).

Almost surely, 2^123525252864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123525252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201486972960).

123525252864 is an abundant number, since it is smaller than the sum of its proper divisors (279448693056).

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

123525252864 is a wasteful number, since it uses less digits than its factorization.

123525252864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1102 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 123525252864 in words is "one hundred twenty-three billion, five hundred twenty-five million, two hundred fifty-two thousand, eight hundred sixty-four".