13894106800 has 600 divisors, whose sum is σ = 44187948576. Its totient is φ = 4172636160.

The previous prime is 13894106789. The next prime is 13894106819. The reversal of 13894106800 is 860149831.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 375516382 + ... + 375516418.

Almost surely, 2^13894106800 is an apocalyptic number.

13894106800 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 13894106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22093974288).

13894106800 is an abundant number, since it is smaller than the sum of its proper divisors (30293841776).

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

13894106800 is a wasteful number, since it uses less digits than its factorization.

13894106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 13894106800 in words is "thirteen billion, eight hundred ninety-four million, one hundred six thousand, eight hundred".