13605622164600 has 96 divisors (see below), whose sum is σ = 42178044480000. Its totient is φ = 3628112941440.

The previous prime is 13605622164581. The next prime is 13605622164601. The reversal of 13605622164600 is 646122650631.

It is a super-2 number, since 2×13605622164600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13605622164601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57962271 + ... + 58196529.

It is an arithmetic number, because the mean of its divisors is an integer number (439354630000).

Almost surely, 2^{13605622164600} is an apocalyptic number.

13605622164600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13605622164600 is an abundant number, since it is smaller than the sum of its proper divisors (28572422315400).

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

13605622164600 is a wasteful number, since it uses less digits than its factorization.

13605622164600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331077 (or 331068 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 13605622164600 in words is "thirteen trillion, six hundred five billion, six hundred twenty-two million, one hundred sixty-four thousand, six hundred".