388896915456 has 567 divisors, whose sum is σ = 1353524324061. Its totient is φ = 107281907712.

The previous prime is 388896915419. The next prime is 388896915523. The reversal of 388896915456 is 654519698883.

The square root of 388896915456 is 623616.

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

388896915456 is a `hidden beast` number, since 3 + 8 + 8 + 89 + 6 + 91 + 5 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203928109056 + 184968806400 = 451584^2 + 430080^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13410238450 + ... + 13410238478.

Almost surely, 2^388896915456 is an apocalyptic number.

388896915456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

388896915456 is the 623616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388896915456

388896915456 is an abundant number, since it is smaller than the sum of its proper divisors (964627408605).

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

388896915456 is an frugal number, since it uses more digits than its factorization.

388896915456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 41 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 72.

The spelling of 388896915456 in words is "three hundred eighty-eight billion, eight hundred ninety-six million, nine hundred fifteen thousand, four hundred fifty-six".