13597121664 has 192 divisors, whose sum is σ = 45180320640. Its totient is φ = 3844620288.

The previous prime is 13597121617. The next prime is 13597121687. The reversal of 13597121664 is 46612179531.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773517 + ... + 790899.

It is an arithmetic number, because the mean of its divisors is an integer number (235314170).

Almost surely, 2^13597121664 is an apocalyptic number.

13597121664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13597121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22590160320).

13597121664 is an abundant number, since it is smaller than the sum of its proper divisors (31583198976).

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

13597121664 is a wasteful number, since it uses less digits than its factorization.

13597121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17507 (or 17492 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 13597121664 in words is "thirteen billion, five hundred ninety-seven million, one hundred twenty-one thousand, six hundred sixty-four".