13641652089600 has 432 divisors, whose sum is σ = 46033043696640. Its totient is φ = 3556125900800.

The previous prime is 13641652089599. The next prime is 13641652089601. The reversal of 13641652089600 is 698025614631.

It is an interprime number because it is at equal distance from previous prime (13641652089599) and next prime (13641652089601).

It is not an unprimeable number, because it can be changed into a prime (13641652089601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795005821 + ... + 795022979.

It is an arithmetic number, because the mean of its divisors is an integer number (106557971520).

Almost surely, 2^{13641652089600} is an apocalyptic number.

13641652089600 is a gapful number since it is divisible by the number (10) 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 13641652089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23016521848320).

13641652089600 is an abundant number, since it is smaller than the sum of its proper divisors (32391391607040).

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

13641652089600 is a wasteful number, since it uses less digits than its factorization.

13641652089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18116 (or 18097 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 13641652089600 in words is "thirteen trillion, six hundred forty-one billion, six hundred fifty-two million, eighty-nine thousand, six hundred".