13633967088 has 320 divisors, whose sum is σ = 47795512320. Its totient is φ = 3632283648.

The previous prime is 13633967069. The next prime is 13633967141. The reversal of 13633967088 is 88076933631.

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 63 ways as a sum of consecutive naturals, for example, 5807931 + ... + 5810277.

It is an arithmetic number, because the mean of its divisors is an integer number (149360976).

Almost surely, 2^13633967088 is an apocalyptic number.

13633967088 is a gapful number since it is divisible by the number (18) 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 13633967088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23897756160).

13633967088 is an abundant number, since it is smaller than the sum of its proper divisors (34161545232).

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

13633967088 is a wasteful number, since it uses less digits than its factorization.

13633967088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 13633967088 in words is "thirteen billion, six hundred thirty-three million, nine hundred sixty-seven thousand, eighty-eight".