22432204800000 has 1260 divisors, whose sum is σ = 84214247685372. Its totient is φ = 5971968000000.

The previous prime is 22432204799827. The next prime is 22432204800017. The reversal of 22432204800000 is 840223422.

22432204800000 is a `hidden beast` number, since 22 + 432 + 204 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14902317563904 + 7529887236096 = 3860352^2 + 2744064^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 37324799700 + ... + 37324800300.

Almost surely, 2^{22432204800000} is an apocalyptic number.

22432204800000 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 22432204800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42107123842686).

22432204800000 is an abundant number, since it is smaller than the sum of its proper divisors (61782042885372).

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

22432204800000 is an frugal number, since it uses more digits than its factorization.

22432204800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 22432204800000 in words is "twenty-two trillion, four hundred thirty-two billion, two hundred four million, eight hundred thousand".