18561337600 has 243 divisors, whose sum is σ = 50130729579. Its totient is φ = 6801100800.

The previous prime is 18561337577. The next prime is 18561337621. The reversal of 18561337600 is 673316581.

It is a happy number.

The square root of 18561337600 is 136240.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4784212224 + 13777125376 = 69168^2 + 117376^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 141689535 + ... + 141689665.

Almost surely, 2^18561337600 is an apocalyptic number.

18561337600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18561337600 is the 136240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18561337600

18561337600 is an abundant number, since it is smaller than the sum of its proper divisors (31569391979).

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

18561337600 is an equidigital number, since it uses as much as digits as its factorization.

18561337600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 18561337600 in words is "eighteen billion, five hundred sixty-one million, three hundred thirty-seven thousand, six hundred".