13884934464 has 168 divisors, whose sum is σ = 41448764448. Its totient is φ = 4608576000.

The previous prime is 13884934457. The next prime is 13884934487. The reversal of 13884934464 is 46443948831.

13884934464 is a `hidden beast` number, since 1 + 38 + 84 + 93 + 446 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13884934464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3901774 + ... + 3905330.

It is an arithmetic number, because the mean of its divisors is an integer number (246718836).

Almost surely, 2^13884934464 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 13884934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20724382224).

13884934464 is an abundant number, since it is smaller than the sum of its proper divisors (27563829984).

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

13884934464 is an equidigital number, since it uses as much as digits as its factorization.

13884934464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835 (or 3813 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 13884934464 in words is "thirteen billion, eight hundred eighty-four million, nine hundred thirty-four thousand, four hundred sixty-four".