18441561600 has 1620 divisors, whose sum is σ = 87511516092. Its totient is φ = 3832012800.

The previous prime is 18441561599. The next prime is 18441561637. The reversal of 18441561600 is 616514481.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

18441561600 is a `hidden beast` number, since 1 + 8 + 4 + 41 + 5 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1676505595 + ... + 1676505605.

Almost surely, 2^18441561600 is an apocalyptic number.

18441561600 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 18441561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43755758046).

18441561600 is an abundant number, since it is smaller than the sum of its proper divisors (69069954492).

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

18441561600 is an equidigital number, since it uses as much as digits as its factorization.

18441561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 18441561600 in words is "eighteen billion, four hundred forty-one million, five hundred sixty-one thousand, six hundred".