393364072894464 has 585 divisors, whose sum is σ = 1367222180017287. Its totient is φ = 112366887026688.

The previous prime is 393364072894411. The next prime is 393364072894469. The reversal of 393364072894464 is 464498270463393.

The square root of 393364072894464 is 19833408.

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

393364072894464 is a `hidden beast` number, since 3 + 9 + 3 + 3 + 6 + 4 + 0 + 72 + 8 + 94 + 464 = 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 = 393364072894392 and 393364072894401.

It is not an unprimeable number, because it can be changed into a prime (393364072894469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 79968298597 + ... + 79968303515.

Almost surely, 2^{393364072894464} is an apocalyptic number.

393364072894464 is the 19833408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393364072894464

393364072894464 is an abundant number, since it is smaller than the sum of its proper divisors (973858107122823).

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

393364072894464 is an frugal number, since it uses more digits than its factorization.

393364072894464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 72.

The spelling of 393364072894464 in words is "three hundred ninety-three trillion, three hundred sixty-four billion, seventy-two million, eight hundred ninety-four thousand, four hundred sixty-four".