18306090000 has 675 divisors, whose sum is σ = 72126191137. Its totient is φ = 4329600000.

The previous prime is 18306089981. The next prime is 18306090013. The reversal of 18306090000 is 9060381.

The square root of 18306090000 is 135300.

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

It can be written as a sum of positive squares in 7 ways, for example, as 18234721296 + 71368704 = 135036^2 + 8448^2 .

It is a super-2 number, since 2×18306090000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 446489980 + ... + 446490020.

Almost surely, 2^18306090000 is an apocalyptic number.

18306090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18306090000 is the 135300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18306090000

18306090000 is an abundant number, since it is smaller than the sum of its proper divisors (53820101137).

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

18306090000 is a wasteful number, since it uses less digits than its factorization.

18306090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Multiplying 18306090000 by its product of nonzero digits (1296), we get a square (23724692640000 = 4870800²).

The spelling of 18306090000 in words is "eighteen billion, three hundred six million, ninety thousand".