18263900736 has 105 divisors (see below), whose sum is σ = 54168782569. Its totient is φ = 6084723456.

The previous prime is 18263900731. The next prime is 18263900737. The reversal of 18263900736 is 63700936281.

The square root of 18263900736 is 135144.

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

18263900736 is a `hidden beast` number, since 1 + 8 + 2 + 639 + 0 + 0 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11431886400 + 6832014336 = 106920^2 + 82656^2 .

It is a super-2 number, since 2×18263900736² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18263900691 and 18263900700.

It is not an unprimeable number, because it can be changed into a prime (18263900731) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9729430 + ... + 9731306.

Almost surely, 2^18263900736 is an apocalyptic number.

18263900736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18263900736 is the 135144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18263900736

18263900736 is an abundant number, since it is smaller than the sum of its proper divisors (35904881833).

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

18263900736 is an frugal number, since it uses more digits than its factorization.

18263900736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 18263900736 in words is "eighteen billion, two hundred sixty-three million, nine hundred thousand, seven hundred thirty-six".