18181825600 has 63 divisors (see below), whose sum is σ = 44751930181. Its totient is φ = 7270572800.

The previous prime is 18181825583. The next prime is 18181825603. The reversal of 18181825600 is 652818181.

The square root of 18181825600 is 134840.

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

It can be written as a sum of positive squares in only one way, i.e., 6545457216 + 11636368384 = 80904^2 + 107872^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18181825603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5391915 + ... + 5395285.

Almost surely, 2^18181825600 is an apocalyptic number.

18181825600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18181825600 is the 134840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18181825600

18181825600 is an abundant number, since it is smaller than the sum of its proper divisors (26570104581).

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

18181825600 is an frugal number, since it uses more digits than its factorization.

18181825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6764 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 40.

The spelling of 18181825600 in words is "eighteen billion, one hundred eighty-one million, eight hundred twenty-five thousand, six hundred".