388578082963456 has 135 divisors (see below), whose sum is σ = 825626300878729. Its totient is φ = 182840088854528.

The previous prime is 388578082963429. The next prime is 388578082963481. The reversal of 388578082963456 is 654369280875883.

The square root of 388578082963456 is 19712384.

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

It can be written as a sum of positive squares in only one way, i.e., 302526189158400 + 86051893805056 = 17393280^2 + 9276416^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 388578082963456.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42894143055 + ... + 42894152113.

Almost surely, 2^{388578082963456} is an apocalyptic number.

388578082963456 is the 19712384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388578082963456

388578082963456 is an abundant number, since it is smaller than the sum of its proper divisors (437048217915273).

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

388578082963456 is an frugal number, since it uses more digits than its factorization.

388578082963456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18180 (or 9078 counting only the distinct ones).

The product of its (nonzero) digits is 16721510400, while the sum is 82.

The spelling of 388578082963456 in words is "three hundred eighty-eight trillion, five hundred seventy-eight billion, eighty-two million, nine hundred sixty-three thousand, four hundred fifty-six".