18066048100 has 27 divisors (see below), whose sum is σ = 39206241291. Its totient is φ = 7225881600.

The previous prime is 18066048061. The next prime is 18066048101. The reversal of 18066048100 is 184066081.

The square root of 18066048100 is 134410.

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 4885171236 + 13180876864 = 69894^2 + 114808^2 .

It is a super-2 number, since 2×18066048100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18066048101) 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, 1337380 + ... + 1350820.

Almost surely, 2^18066048100 is an apocalyptic number.

18066048100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18066048100 is the 134410-th square number.

It is an amenable number.

18066048100 is an abundant number, since it is smaller than the sum of its proper divisors (21140193191).

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

18066048100 is an frugal number, since it uses more digits than its factorization.

18066048100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26896 (or 13448 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

Multiplying 18066048100 by its product of nonzero digits (9216), we get a square (166496699289600 = 12903360²).

The spelling of 18066048100 in words is "eighteen billion, sixty-six million, forty-eight thousand, one hundred".