18113846400 has 384 divisors, whose sum is σ = 71395430400. Its totient is φ = 4458516480.

The previous prime is 18113846383. The next prime is 18113846407. The reversal of 18113846400 is 464831181.

It is a happy number.

18113846400 is a `hidden beast` number, since 1 + 8 + 1 + 1 + 3 + 8 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×18113846400² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (18113846407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115137 + ... + 1131263.

It is an arithmetic number, because the mean of its divisors is an integer number (185925600).

Almost surely, 2^18113846400 is an apocalyptic number.

18113846400 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 18113846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35697715200).

18113846400 is an abundant number, since it is smaller than the sum of its proper divisors (53281584000).

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

18113846400 is a wasteful number, since it uses less digits than its factorization.

18113846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16173 (or 16150 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18113846400 in words is "eighteen billion, one hundred thirteen million, eight hundred forty-six thousand, four hundred".