10404874964 has 48 divisors (see below), whose sum is σ = 20932926336. Its totient is φ = 4479024000.

The previous prime is 10404874951. The next prime is 10404874979. The reversal of 10404874964 is 46947840401.

10404874964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10404874964³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51314 + ... + 153110.

It is an arithmetic number, because the mean of its divisors is an integer number (436102632).

Almost surely, 2^10404874964 is an apocalyptic number.

It is an amenable number.

10404874964 is an abundant number, since it is smaller than the sum of its proper divisors (10528051372).

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

10404874964 is a wasteful number, since it uses less digits than its factorization.

10404874964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101936 (or 101934 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The spelling of 10404874964 in words is "ten billion, four hundred four million, eight hundred seventy-four thousand, nine hundred sixty-four".