13664875392 has 768 divisors, whose sum is σ = 51349248000. Its totient is φ = 3553320960.

The previous prime is 13664875381. The next prime is 13664875397. The reversal of 13664875392 is 29357846631.

13664875392 is a `hidden beast` number, since 1 + 3 + 66 + 48 + 7 + 539 + 2 = 666.

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

Its product of digits (6531840) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13664875397) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99743548 + ... + 99743684.

It is an arithmetic number, because the mean of its divisors is an integer number (66861000).

Almost surely, 2^13664875392 is an apocalyptic number.

13664875392 is a gapful number since it is divisible by the number (12) 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 13664875392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25674624000).

13664875392 is an abundant number, since it is smaller than the sum of its proper divisors (37684372608).

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

13664875392 is a wasteful number, since it uses less digits than its factorization.

13664875392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 13664875392 in words is "thirteen billion, six hundred sixty-four million, eight hundred seventy-five thousand, three hundred ninety-two".