36516516611616 has 144 divisors (see below), whose sum is σ = 107693107048800. Its totient is φ = 12171811120128.

The previous prime is 36516516611587. The next prime is 36516516611633. The reversal of 36516516611616 is 61611661561563.

It is a happy number.

36516516611616 is a `hidden beast` number, since 3 + 6 + 5 + 1 + 6 + 5 + 1 + 6 + 6 + 11 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×36516516611616² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444582840 + ... + 444664968.

It is an arithmetic number, because the mean of its divisors is an integer number (747868798950).

Almost surely, 2^{36516516611616} is an apocalyptic number.

36516516611616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36516516611616 is an abundant number, since it is smaller than the sum of its proper divisors (71176590437184).

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

36516516611616 is an equidigital number, since it uses as much as digits as its factorization.

36516516611616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139333 (or 139313 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 36516516611616 in words is "thirty-six trillion, five hundred sixteen billion, five hundred sixteen million, six hundred eleven thousand, six hundred sixteen".