13796150045184 has 1200 divisors, whose sum is σ = 47779114050360. Its totient is φ = 3947338137600.

The previous prime is 13796150045173. The next prime is 13796150045207. The reversal of 13796150045184 is 48154005169731.

13796150045184 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 6 + 1 + 500 + 4 + 51 + 84 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1986205411584 + 11809944633600 = 1409328^2 + 3436560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13796150045184.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10604265334 + ... + 10604266634.

Almost surely, 2^{13796150045184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13796150045184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23889557025180).

13796150045184 is an abundant number, since it is smaller than the sum of its proper divisors (33982964005176).

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

13796150045184 is a wasteful number, since it uses less digits than its factorization.

13796150045184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 13796150045184 in words is "thirteen trillion, seven hundred ninety-six billion, one hundred fifty million, forty-five thousand, one hundred eighty-four".