13643793408 has 352 divisors, whose sum is σ = 43549155328. Its totient is φ = 3715891200.

The previous prime is 13643793389. The next prime is 13643793431. The reversal of 13643793408 is 80439734631.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64662423 + ... + 64662633.

Almost surely, 2^13643793408 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 13643793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21774577664).

13643793408 is an abundant number, since it is smaller than the sum of its proper divisors (29905361920).

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

13643793408 is a wasteful number, since it uses less digits than its factorization.

13643793408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 13643793408 in words is "thirteen billion, six hundred forty-three million, seven hundred ninety-three thousand, four hundred eight".