399564465993 has 36 divisors (see below), whose sum is σ = 732411312048. Its totient is φ = 207565953840.

The previous prime is 399564465931. The next prime is 399564466061.

It is a happy number.

399564465993 is a `hidden beast` number, since 3 + 9 + 9 + 564 + 4 + 6 + 59 + 9 + 3 = 666.

399564465993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 399564465993 - 2⁹ = 399564465481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (399564465193) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41178871 + ... + 41188572.

It is an arithmetic number, because the mean of its divisors is an integer number (20344758668).

Almost surely, 2^399564465993 is an apocalyptic number.

399564465993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

399564465993 is a deficient number, since it is larger than the sum of its proper divisors (332846846055).

399564465993 is a wasteful number, since it uses less digits than its factorization.

399564465993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82367474 (or 82367464 counting only the distinct ones).

The product of its digits is 850305600, while the sum is 72.

The spelling of 399564465993 in words is "three hundred ninety-nine billion, five hundred sixty-four million, four hundred sixty-five thousand, nine hundred ninety-three".