13893336900 has 81 divisors (see below), whose sum is σ = 43558979191. Its totient is φ = 3703946880.

The previous prime is 13893336889. The next prime is 13893336923. The reversal of 13893336900 is 963339831.

The square root of 13893336900 is 117870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3689104644 + 10204232256 = 60738^2 + 101016^2 .

It is a super-2 number, since 2×13893336900² (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3534136 + ... + 3538064.

Almost surely, 2^13893336900 is an apocalyptic number.

13893336900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13893336900 is the 117870-th square number.

It is an amenable number.

13893336900 is an abundant number, since it is smaller than the sum of its proper divisors (29665642291).

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

13893336900 is an equidigital number, since it uses as much as digits as its factorization.

13893336900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 13893336900 in words is "thirteen billion, eight hundred ninety-three million, three hundred thirty-six thousand, nine hundred".