18468810000 has 375 divisors, whose sum is σ = 67241525043. Its totient is φ = 4892400000.

The previous prime is 18468809969. The next prime is 18468810001. The reversal of 18468810000 is 1886481.

The square root of 18468810000 is 135900.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1447954704 + 17020855296 = 38052^2 + 130464^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a super-2 number, since 2×18468810000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18468810001) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 122309925 + ... + 122310075.

Almost surely, 2^18468810000 is an apocalyptic number.

18468810000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18468810000 is the 135900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18468810000

18468810000 is an abundant number, since it is smaller than the sum of its proper divisors (48772715043).

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

18468810000 is an frugal number, since it uses more digits than its factorization.

18468810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Multiplying 18468810000 by its sum of digits (36), we get a square (664877160000 = 815400²).

18468810000 divided by its sum of digits (36) gives a square (513022500 = 22650²).

The spelling of 18468810000 in words is "eighteen billion, four hundred sixty-eight million, eight hundred ten thousand".