18298973952900 has 81 divisors (see below), whose sum is σ = 57357519497733. Its totient is φ = 4879692165600.

The previous prime is 18298973952877. The next prime is 18298973952937. The reversal of 18298973952900 is 925937989281.

The square root of 18298973952900 is 4277730.

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

18298973952900 is a `hidden beast` number, since 1 + 8 + 2 + 9 + 8 + 97 + 3 + 9 + 529 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6587630623044 + 11711343329856 = 2566638^2 + 3422184^2 .

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, 128260605 + ... + 128403195.

Almost surely, 2^{18298973952900} is an apocalyptic number.

18298973952900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18298973952900 is the 4277730-th square number.

It is an amenable number.

18298973952900 is an abundant number, since it is smaller than the sum of its proper divisors (39058545544833).

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

18298973952900 is an frugal number, since it uses more digits than its factorization.

18298973952900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285202 (or 142601 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 18298973952900 in words is "eighteen trillion, two hundred ninety-eight billion, nine hundred seventy-three million, nine hundred fifty-two thousand, nine hundred".