13645617004800 has 864 divisors, whose sum is σ = 55355277035520. Its totient is φ = 3261404160000.

The previous prime is 13645617004783. The next prime is 13645617004801. The reversal of 13645617004800 is 840071654631.

13645617004800 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 561 + 7 + 0 + 0 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13645617004801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134906245 + ... + 135007355.

It is an arithmetic number, because the mean of its divisors is an integer number (64068607680).

Almost surely, 2^{13645617004800} is an apocalyptic number.

13645617004800 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 13645617004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27677638517760).

13645617004800 is an abundant number, since it is smaller than the sum of its proper divisors (41709660030720).

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

13645617004800 is a wasteful number, since it uses less digits than its factorization.

13645617004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101228 (or 101203 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13645617004800 in words is "thirteen trillion, six hundred forty-five billion, six hundred seventeen million, four thousand, eight hundred".