388014376464 has 525 divisors, whose sum is σ = 1337663656461. Its totient is φ = 108535489920.

The previous prime is 388014376447. The next prime is 388014376471. The reversal of 388014376464 is 464673410883.

The square root of 388014376464 is 622908.

It is a perfect power (a square), and thus also a powerful number.

388014376464 is a `hidden beast` number, since 38 + 8 + 0 + 143 + 7 + 6 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57398576400 + 330615800064 = 239580^2 + 574992^2 .

It is a super-3 number, since 3×388014376464³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 388014376464.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 29847259722 + ... + 29847259734.

Almost surely, 2^388014376464 is an apocalyptic number.

388014376464 is the 622908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388014376464

388014376464 is an abundant number, since it is smaller than the sum of its proper divisors (949649279997).

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

388014376464 is an frugal number, since it uses more digits than its factorization.

388014376464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 388014376464 in words is "three hundred eighty-eight billion, fourteen million, three hundred seventy-six thousand, four hundred sixty-four".