393695004358656 has 1920 divisors, whose sum is σ = 1604805590868480. Its totient is φ = 92842603315200.

The previous prime is 393695004358651. The next prime is 393695004358679. The reversal of 393695004358656 is 656853400596393.

393695004358656 is a `hidden beast` number, since 3 + 9 + 3 + 6 + 9 + 500 + 4 + 3 + 58 + 65 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393695004358651) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10129267735 + ... + 10129306601.

It is an arithmetic number, because the mean of its divisors is an integer number (835836245244).

Almost surely, 2^{393695004358656} is an apocalyptic number.

393695004358656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393695004358656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802402795434240).

393695004358656 is an abundant number, since it is smaller than the sum of its proper divisors (1211110586509824).

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

393695004358656 is a wasteful number, since it uses less digits than its factorization.

393695004358656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38993 (or 38964 counting only the distinct ones).

The product of its (nonzero) digits is 1889568000, while the sum is 72.

The spelling of 393695004358656 in words is "three hundred ninety-three trillion, six hundred ninety-five billion, four million, three hundred fifty-eight thousand, six hundred fifty-six".