13633872504 has 96 divisors (see below), whose sum is σ = 39686993280. Its totient is φ = 3891711936.

The previous prime is 13633872487. The next prime is 13633872533. The reversal of 13633872504 is 40527833631.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1391029 + ... + 1400795.

It is an arithmetic number, because the mean of its divisors is an integer number (413406180).

Almost surely, 2^13633872504 is an apocalyptic number.

13633872504 is a gapful number since it is divisible by the number (14) 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 13633872504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19843496640).

13633872504 is an abundant number, since it is smaller than the sum of its proper divisors (26053120776).

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

13633872504 is a wasteful number, since it uses less digits than its factorization.

13633872504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10977 (or 10966 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 13633872504 in words is "thirteen billion, six hundred thirty-three million, eight hundred seventy-two thousand, five hundred four".