13597013658816 has 336 divisors, whose sum is σ = 45308218126080. Its totient is φ = 3817981163520.

The previous prime is 13597013658779. The next prime is 13597013658887. The reversal of 13597013658816 is 61885631079531.

13597013658816 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 7 + 0 + 1 + 36 + 588 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1443261786 + ... + 1443271206.

It is an arithmetic number, because the mean of its divisors is an integer number (134845887280).

Almost surely, 2^{13597013658816} is an apocalyptic number.

13597013658816 is a gapful number since it is divisible by the number (16) 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 13597013658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22654109063040).

13597013658816 is an abundant number, since it is smaller than the sum of its proper divisors (31711204467264).

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

13597013658816 is a wasteful number, since it uses less digits than its factorization.

13597013658816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15572 (or 15559 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 13597013658816 in words is "thirteen trillion, five hundred ninety-seven billion, thirteen million, six hundred fifty-eight thousand, eight hundred sixteen".