388249956864 has 1440 divisors, whose sum is σ = 1546343884800. Its totient is φ = 94327234560.

The previous prime is 388249956839. The next prime is 388249956881. The reversal of 388249956864 is 468659942883.

It is a happy number.

388249956864 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 499 + 56 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 388249956792 and 388249956801.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4914556377 + ... + 4914556455.

It is an arithmetic number, because the mean of its divisors is an integer number (1073849920).

Almost surely, 2^388249956864 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 388249956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773171942400).

388249956864 is an abundant number, since it is smaller than the sum of its proper divisors (1158093927936).

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

388249956864 is an frugal number, since it uses more digits than its factorization.

388249956864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 121 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 388249956864 in words is "three hundred eighty-eight billion, two hundred forty-nine million, nine hundred fifty-six thousand, eight hundred sixty-four".