13998182400 has 624 divisors, whose sum is σ = 52896822720. Its totient is φ = 3627417600.

The previous prime is 13998182399. The next prime is 13998182413. The reversal of 13998182400 is 428189931.

13998182400 is a `hidden beast` number, since 1 + 3 + 99 + 81 + 82 + 400 = 666.

It is a super-2 number, since 2×13998182400² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168652759 + ... + 168652841.

Almost surely, 2^13998182400 is an apocalyptic number.

13998182400 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 13998182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26448411360).

13998182400 is an abundant number, since it is smaller than the sum of its proper divisors (38898640320).

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

13998182400 is an equidigital number, since it uses as much as digits as its factorization.

13998182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 13998182400 in words is "thirteen billion, nine hundred ninety-eight million, one hundred eighty-two thousand, four hundred".