13634916433920 has 240 divisors, whose sum is σ = 48478231257120. Its totient is φ = 3635977125888.

The previous prime is 13634916433903. The next prime is 13634916433939. The reversal of 13634916433920 is 2933461943631.

13634916433920 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 491 + 64 + 3 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 15 ways as a sum of consecutive naturals, for example, 870417 + ... + 5294096.

It is an arithmetic number, because the mean of its divisors is an integer number (201992630238).

Almost surely, 2^{13634916433920} is an apocalyptic number.

13634916433920 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 13634916433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24239115628560).

13634916433920 is an abundant number, since it is smaller than the sum of its proper divisors (34843314823200).

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

13634916433920 is an frugal number, since it uses more digits than its factorization.

13634916433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164555 (or 6164523 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 13634916433920 in words is "thirteen trillion, six hundred thirty-four billion, nine hundred sixteen million, four hundred thirty-three thousand, nine hundred twenty".