13356607660032 has 896 divisors, whose sum is σ = 46906987760640. Its totient is φ = 3281875107840.

The previous prime is 13356607660031. The next prime is 13356607660043. The reversal of 13356607660032 is 23006670665331.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13356607660031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2592003568 + ... + 2592008720.

It is an arithmetic number, because the mean of its divisors is an integer number (52351548840).

Almost surely, 2^{13356607660032} is an apocalyptic number.

13356607660032 is a gapful number since it is divisible by the number (12) 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 13356607660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23453493880320).

13356607660032 is an abundant number, since it is smaller than the sum of its proper divisors (33550380100608).

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

13356607660032 is a wasteful number, since it uses less digits than its factorization.

13356607660032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 48.

The spelling of 13356607660032 in words is "thirteen trillion, three hundred fifty-six billion, six hundred seven million, six hundred sixty thousand, thirty-two".