13920221117376 has 1120 divisors, whose sum is σ = 50579332277760. Its totient is φ = 3697197613056.

The previous prime is 13920221117353. The next prime is 13920221117381. The reversal of 13920221117376 is 67371112202931.

13920221117376 is a `hidden beast` number, since 1 + 39 + 20 + 2 + 211 + 17 + 376 = 666.

13920221117376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11727228655 + ... + 11727229841.

Almost surely, 2^{13920221117376} is an apocalyptic number.

13920221117376 is a gapful number since it is divisible by the number (16) 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 13920221117376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25289666138880).

13920221117376 is an abundant number, since it is smaller than the sum of its proper divisors (36659111160384).

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

13920221117376 is a wasteful number, since it uses less digits than its factorization.

13920221117376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 13920221117376 in words is "thirteen trillion, nine hundred twenty billion, two hundred twenty-one million, one hundred seventeen thousand, three hundred seventy-six".