18013514400 has 576 divisors, whose sum is σ = 75207686400. Its totient is φ = 4075868160.

The previous prime is 18013514359. The next prime is 18013514423. The reversal of 18013514400 is 441531081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16480254 + ... + 16481346.

It is an arithmetic number, because the mean of its divisors is an integer number (130568900).

Almost surely, 2^18013514400 is an apocalyptic number.

18013514400 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 18013514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37603843200).

18013514400 is an abundant number, since it is smaller than the sum of its proper divisors (57194172000).

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

18013514400 is a wasteful number, since it uses less digits than its factorization.

18013514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 18013514400 in words is "eighteen billion, thirteen million, five hundred fourteen thousand, four hundred".