18014918400 has 1080 divisors, whose sum is σ = 73603622400. Its totient is φ = 4329676800.

The previous prime is 18014918321. The next prime is 18014918401. The reversal of 18014918400 is 481941081.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18014918401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 305337571 + ... + 305337629.

Almost surely, 2^18014918400 is an apocalyptic number.

18014918400 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 18014918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36801811200).

18014918400 is an abundant number, since it is smaller than the sum of its proper divisors (55588704000).

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

18014918400 is a wasteful number, since it uses less digits than its factorization.

18014918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 18014918400 in words is "eighteen billion, fourteen million, nine hundred eighteen thousand, four hundred".