13974311185920 has 960 divisors, whose sum is σ = 50764610856960. Its totient is φ = 3684083171328.

The previous prime is 13974311185871. The next prime is 13974311185943. The reversal of 13974311185920 is 2958111347931.

13974311185920 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 4 + 31 + 1 + 18 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 28694683917 + ... + 28694684403.

It is an arithmetic number, because the mean of its divisors is an integer number (52879802976).

Almost surely, 2^{13974311185920} is an apocalyptic number.

13974311185920 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 13974311185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25382305428480).

13974311185920 is an abundant number, since it is smaller than the sum of its proper divisors (36790299671040).

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

13974311185920 is an equidigital number, since it uses as much as digits as its factorization.

13974311185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 13974311185920 in words is "thirteen trillion, nine hundred seventy-four billion, three hundred eleven million, one hundred eighty-five thousand, nine hundred twenty".