393364251742464 has 360 divisors, whose sum is σ = 1235178289046240. Its totient is φ = 124169630441472.

The previous prime is 393364251742411. The next prime is 393364251742493. The reversal of 393364251742464 is 464247152463393.

393364251742464 is a `hidden beast` number, since 3 + 9 + 3 + 36 + 4 + 2 + 517 + 4 + 24 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 971756172 + ... + 972160884.

Almost surely, 2^{393364251742464} 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 393364251742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617589144523120).

393364251742464 is an abundant number, since it is smaller than the sum of its proper divisors (841814037303776).

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

393364251742464 is a wasteful number, since it uses less digits than its factorization.

393364251742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407227 (or 407204 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 63.

The spelling of 393364251742464 in words is "three hundred ninety-three trillion, three hundred sixty-four billion, two hundred fifty-one million, seven hundred forty-two thousand, four hundred sixty-four".