18168940800 has 648 divisors, whose sum is σ = 68575689000. Its totient is φ = 4582932480.

The previous prime is 18168940799. The next prime is 18168940819. The reversal of 18168940800 is 804986181.

18168940800 is a `hidden beast` number, since 181 + 68 + 9 + 408 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7656950016 + 10511990784 = 87504^2 + 102528^2 .

It is a super-2 number, since 2×18168940800² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121939126 + ... + 121939274.

Almost surely, 2^18168940800 is an apocalyptic number.

18168940800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18168940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34287844500).

18168940800 is an abundant number, since it is smaller than the sum of its proper divisors (50406748200).

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

18168940800 is a wasteful number, since it uses less digits than its factorization.

18168940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 18168940800 in words is "eighteen billion, one hundred sixty-eight million, nine hundred forty thousand, eight hundred".