13164736400 has 30 divisors (see below), whose sum is σ = 31628280162. Its totient is φ = 5265894400.

The previous prime is 13164736393. The next prime is 13164736439. The reversal of 13164736400 is 463746131.

13164736400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3456969616 + 9707766784 = 58796^2 + 98528^2 .

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 5 ways as a sum of consecutive naturals, for example, 16455521 + ... + 16456320.

Almost surely, 2^13164736400 is an apocalyptic number.

13164736400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13164736400 is an abundant number, since it is smaller than the sum of its proper divisors (18463543762).

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

13164736400 is a wasteful number, since it uses less digits than its factorization.

13164736400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32911859 (or 32911848 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 13164736400 in words is "thirteen billion, one hundred sixty-four million, seven hundred thirty-six thousand, four hundred".