18632220800 has 216 divisors, whose sum is σ = 48962913885. Its totient is φ = 7005035520.

The previous prime is 18632220767. The next prime is 18632220821. The reversal of 18632220800 is 802223681.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 18259576384 + 372644416 = 135128^2 + 19304^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=96520.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 146710337 + ... + 146710463.

Almost surely, 2^18632220800 is an apocalyptic number.

18632220800 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 18632220800

18632220800 is an abundant number, since it is smaller than the sum of its proper divisors (30330693085).

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

18632220800 is an equidigital number, since it uses as much as digits as its factorization.

18632220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Multiplying 18632220800 by its sum of digits (32), we get a square (596231065600 = 772160²).

18632220800 divided by its sum of digits (32) gives a square (582256900 = 24130²).

The spelling of 18632220800 in words is "eighteen billion, six hundred thirty-two million, two hundred twenty thousand, eight hundred".