18367995924100 has 27 divisors (see below), whose sum is σ = 39858644157157. Its totient is φ = 7347181226480.

The previous prime is 18367995924029. The next prime is 18367995924139. The reversal of 18367995924100 is 142959976381.

The square root of 18367995924100 is 4285790.

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., 6612478532676 + 11755517391424 = 2571474^2 + 3428632^2 .

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, 42643611 + ... + 43072189.

It is a 2-persistent number, because it is pandigital, and so is 2⋅18367995924100 = 36735991848200, but 3⋅18367995924100 = 55103987772300 is not.

Almost surely, 2^{18367995924100} is an apocalyptic number.

18367995924100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18367995924100 is the 4285790-th square number.

It is an amenable number.

18367995924100 is an abundant number, since it is smaller than the sum of its proper divisors (21490648233057).

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

18367995924100 is an frugal number, since it uses more digits than its factorization.

18367995924100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857172 (or 428586 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 64.

The spelling of 18367995924100 in words is "eighteen trillion, three hundred sixty-seven billion, nine hundred ninety-five million, nine hundred twenty-four thousand, one hundred".