13689383400 has 1152 divisors, whose sum is σ = 61508563200. Its totient is φ = 2737152000.

The previous prime is 13689383339. The next prime is 13689383401. The reversal of 13689383400 is 438398631.

13689383400 is a `hidden beast` number, since 136 + 89 + 38 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13689383401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 187525764 + ... + 187525836.

It is an arithmetic number, because the mean of its divisors is an integer number (53392850).

Almost surely, 2^13689383400 is an apocalyptic number.

13689383400 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 13689383400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30754281600).

13689383400 is an abundant number, since it is smaller than the sum of its proper divisors (47819179800).

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

13689383400 is a wasteful number, since it uses less digits than its factorization.

13689383400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 13689383400 in words is "thirteen billion, six hundred eighty-nine million, three hundred eighty-three thousand, four hundred".