18156242400 has 144 divisors (see below), whose sum is σ = 59182180848. Its totient is φ = 4834816000.

The previous prime is 18156242381. The next prime is 18156242407. The reversal of 18156242400 is 424265181.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18156242407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1821430 + ... + 1831370.

It is an arithmetic number, because the mean of its divisors is an integer number (410987367).

Almost surely, 2^18156242400 is an apocalyptic number.

18156242400 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 18156242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29591090424).

18156242400 is an abundant number, since it is smaller than the sum of its proper divisors (41025938448).

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

18156242400 is a wasteful number, since it uses less digits than its factorization.

18156242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10725 (or 10712 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 18156242400 in words is "eighteen billion, one hundred fifty-six million, two hundred forty-two thousand, four hundred".