18914500900 has 81 divisors (see below), whose sum is σ = 43654831129. Its totient is φ = 7111951360.

The previous prime is 18914500897. The next prime is 18914500919. The reversal of 18914500900 is 900541981.

The square root of 18914500900 is 137530.

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

It can be written as a sum of positive squares in 13 ways, for example, as 745617636 + 18168883264 = 27306^2 + 134792^2 .

It is a super-2 number, since 2×18914500900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18914500900.

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, 23379696 + ... + 23380504.

Almost surely, 2^18914500900 is an apocalyptic number.

18914500900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18914500900 is the 137530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18914500900

18914500900 is an abundant number, since it is smaller than the sum of its proper divisors (24740330229).

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

18914500900 is an equidigital number, since it uses as much as digits as its factorization.

18914500900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The spelling of 18914500900 in words is "eighteen billion, nine hundred fourteen million, five hundred thousand, nine hundred".