18222796800 has 780 divisors, whose sum is σ = 73124169580. Its totient is φ = 4485611520.

The previous prime is 18222796793. The next prime is 18222796841. The reversal of 18222796800 is 869722281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 14770999296 + 3451797504 = 121536^2 + 58752^2 .

It is a tau number, because it is divible by the number of its divisors (780).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1401753594 + ... + 1401753606.

Almost surely, 2^18222796800 is an apocalyptic number.

18222796800 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 18222796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36562084790).

18222796800 is an abundant number, since it is smaller than the sum of its proper divisors (54901372780).

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

18222796800 is an frugal number, since it uses more digits than its factorization.

18222796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

Multiplying 18222796800 by its sum of digits (45), we get a cube (820025856000 = 9360³).

The spelling of 18222796800 in words is "eighteen billion, two hundred twenty-two million, seven hundred ninety-six thousand, eight hundred".