13561415164000 has 192 divisors, whose sum is σ = 37194867021312. Its totient is φ = 4816738752000.

The previous prime is 13561415163991. The next prime is 13561415164001. The reversal of 13561415164000 is 46151416531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13561415164001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1691884 + ... + 5475883.

It is an arithmetic number, because the mean of its divisors is an integer number (193723265736).

Almost surely, 2^{13561415164000} is an apocalyptic number.

13561415164000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13561415164000 is an abundant number, since it is smaller than the sum of its proper divisors (23633451857312).

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

13561415164000 is a wasteful number, since it uses less digits than its factorization.

13561415164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7167846 (or 7167828 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 13561415164000 in words is "thirteen trillion, five hundred sixty-one billion, four hundred fifteen million, one hundred sixty-four thousand".