13869331200 has 972 divisors, whose sum is σ = 56491540560. Its totient is φ = 3235921920.

The previous prime is 13869331183. The next prime is 13869331213. The reversal of 13869331200 is 213396831.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 478252786 + ... + 478252814.

Almost surely, 2^13869331200 is an apocalyptic number.

13869331200 is a gapful number since it is divisible by the number (10) 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 13869331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28245770280).

13869331200 is an abundant number, since it is smaller than the sum of its proper divisors (42622209360).

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

13869331200 is a wasteful number, since it uses less digits than its factorization.

13869331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13869331200 in words is "thirteen billion, eight hundred sixty-nine million, three hundred thirty-one thousand, two hundred".