36513413100864 has 252 divisors, whose sum is σ = 128154009172800. Its totient is φ = 9883329716736.

The previous prime is 36513413100839. The next prime is 36513413100919. The reversal of 36513413100864 is 46800131431563.

36513413100864 is a `hidden beast` number, since 3 + 6 + 51 + 3 + 413 + 100 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 33508504 + ... + 34581015.

Almost surely, 2^{36513413100864} is an apocalyptic number.

It is an amenable number.

36513413100864 is an abundant number, since it is smaller than the sum of its proper divisors (91640596071936).

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

36513413100864 is a wasteful number, since it uses less digits than its factorization.

36513413100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68089570 (or 68089550 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 36513413100864 in words is "thirty-six trillion, five hundred thirteen billion, four hundred thirteen million, one hundred thousand, eight hundred sixty-four".