18826584100 has 27 divisors (see below), whose sum is σ = 40856665171. Its totient is φ = 7530084800.

The previous prime is 18826584047. The next prime is 18826584181. The reversal of 18826584100 is 148562881.

The square root of 18826584100 is 137210.

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 3591125476 + 15235458624 = 59926^2 + 123432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1365240 + ... + 1378960.

Almost surely, 2^18826584100 is an apocalyptic number.

18826584100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18826584100 is the 137210-th square number.

It is an amenable number.

18826584100 is an abundant number, since it is smaller than the sum of its proper divisors (22030081071).

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

18826584100 is an frugal number, since it uses more digits than its factorization.

18826584100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27456 (or 13728 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

The spelling of 18826584100 in words is "eighteen billion, eight hundred twenty-six million, five hundred eighty-four thousand, one hundred".