18251094736900 has 27 divisors (see below), whose sum is σ = 39604968284511. Its totient is φ = 7300420806240.

The previous prime is 18251094736873. The next prime is 18251094736913. The reversal of 18251094736900 is 963749015281.

It is a happy number.

The square root of 18251094736900 is 4272130.

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 3565276581636 + 14685818155264 = 1888194^2 + 3832208^2 .

It is a super-2 number, since 2×18251094736900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42507694 + ... + 42934906.

It is a 2-persistent number, because it is pandigital, and so is 2⋅18251094736900 = 36502189473800, but 3⋅18251094736900 = 54753284210700 is not.

Almost surely, 2^{18251094736900} is an apocalyptic number.

18251094736900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18251094736900 is the 4272130-th square number.

It is an amenable number.

18251094736900 is an abundant number, since it is smaller than the sum of its proper divisors (21353873547611).

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

18251094736900 is an frugal number, since it uses more digits than its factorization.

18251094736900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854440 (or 427220 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 18251094736900 in words is "eighteen trillion, two hundred fifty-one billion, ninety-four million, seven hundred thirty-six thousand, nine hundred".