393696696393 has 288 divisors, whose sum is σ = 793255462272. Its totient is φ = 184923648000.

The previous prime is 393696696391. The next prime is 393696696397.

393696696393 is a `hidden beast` number, since 3 + 93 + 6 + 9 + 66 + 96 + 393 = 666.

393696696393 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 393696696393 - 2¹ = 393696696391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (393696696391) 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 287 ways as a sum of consecutive naturals, for example, 719737746 + ... + 719738292.

It is an arithmetic number, because the mean of its divisors is an integer number (2754359244).

Almost surely, 2^393696696393 is an apocalyptic number.

393696696393 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

393696696393 is an abundant number, since it is smaller than the sum of its proper divisors (399558765879).

393696696393 is a wasteful number, since it uses less digits than its factorization.

393696696393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 795 counting only the distinct ones).

The product of its digits is 688747536, while the sum is 72.

The spelling of 393696696393 in words is "three hundred ninety-three billion, six hundred ninety-six million, six hundred ninety-six thousand, three hundred ninety-three".