18461044800 has 672 divisors, whose sum is σ = 74902527360. Its totient is φ = 4384972800.

The previous prime is 18461044759. The next prime is 18461044801. The reversal of 18461044800 is 844016481.

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 (18461044801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25185234 + ... + 25185966.

Almost surely, 2^18461044800 is an apocalyptic number.

18461044800 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 18461044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37451263680).

18461044800 is an abundant number, since it is smaller than the sum of its proper divisors (56441482560).

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

18461044800 is a wasteful number, since it uses less digits than its factorization.

18461044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 18461044800 in words is "eighteen billion, four hundred sixty-one million, forty-four thousand, eight hundred".