13336781976144 has 480 divisors, whose sum is σ = 45130496606208. Its totient is φ = 3629154816000.

The previous prime is 13336781976043. The next prime is 13336781976163. The reversal of 13336781976144 is 44167918763331.

13336781976144 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 6 + 7 + 8 + 1 + 9 + 7 + 614 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59156017 + ... + 59381039.

Almost surely, 2^{13336781976144} 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 13336781976144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22565248303104).

13336781976144 is an abundant number, since it is smaller than the sum of its proper divisors (31793714630064).

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

13336781976144 is a wasteful number, since it uses less digits than its factorization.

13336781976144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225167 (or 225158 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 13336781976144 in words is "thirteen trillion, three hundred thirty-six billion, seven hundred eighty-one million, nine hundred seventy-six thousand, one hundred forty-four".