13374846111744 has 1248 divisors, whose sum is σ = 45325366369920. Its totient is φ = 3763284738048.

The previous prime is 13374846111709. The next prime is 13374846111793. The reversal of 13374846111744 is 44711164847331.

13374846111744 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 4 + 8 + 4 + 611 + 17 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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, 58405441422 + ... + 58405441650.

It is an arithmetic number, because the mean of its divisors is an integer number (36318402540).

Almost surely, 2^{13374846111744} 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 13374846111744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22662683184960).

13374846111744 is an abundant number, since it is smaller than the sum of its proper divisors (31950520258176).

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

13374846111744 is a wasteful number, since it uses less digits than its factorization.

13374846111744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 438 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 13374846111744 in words is "thirteen trillion, three hundred seventy-four billion, eight hundred forty-six million, one hundred eleven thousand, seven hundred forty-four".