22618249790400 has 672 divisors, whose sum is σ = 93858331968000. Its totient is φ = 5244809011200.

The previous prime is 22618249790369. The next prime is 22618249790417. The reversal of 22618249790400 is 409794281622.

It is a happy number.

22618249790400 is a `hidden beast` number, since 2 + 2 + 61 + 8 + 2 + 4 + 97 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9894876 + ... + 11964324.

Almost surely, 2^{22618249790400} is an apocalyptic number.

22618249790400 is a gapful number since it is divisible by the number (20) 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 22618249790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46929165984000).

22618249790400 is an abundant number, since it is smaller than the sum of its proper divisors (71240082177600).

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

22618249790400 is a wasteful number, since it uses less digits than its factorization.

22618249790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069514 (or 2069493 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 22618249790400 in words is "twenty-two trillion, six hundred eighteen billion, two hundred forty-nine million, seven hundred ninety thousand, four hundred".