36404367312816 has 120 divisors (see below), whose sum is σ = 102102540540000. Its totient is φ = 12108501789696.

The previous prime is 36404367312811. The next prime is 36404367312829. The reversal of 36404367312816 is 61821376340463.

36404367312816 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 436 + 73 + 128 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (36404367312811) 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 23 ways as a sum of consecutive naturals, for example, 174909420 + ... + 175117428.

It is an arithmetic number, because the mean of its divisors is an integer number (850854504500).

Almost surely, 2^{36404367312816} is an apocalyptic number.

36404367312816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36404367312816 is an abundant number, since it is smaller than the sum of its proper divisors (65698173227184).

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

36404367312816 is a wasteful number, since it uses less digits than its factorization.

36404367312816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210651 (or 210642 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 36404367312816 in words is "thirty-six trillion, four hundred four billion, three hundred sixty-seven million, three hundred twelve thousand, eight hundred sixteen".