22288104944640 has 1232 divisors, whose sum is σ = 82843583491200. Its totient is φ = 5746705367040.

The previous prime is 22288104944617. The next prime is 22288104944641. The reversal of 22288104944640 is 4644940188222.

22288104944640 is a `hidden beast` number, since 2 + 2 + 2 + 88 + 10 + 4 + 94 + 464 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22288104944641) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27482249835 + ... + 27482250645.

Almost surely, 2^{22288104944640} is an apocalyptic number.

22288104944640 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 22288104944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41421791745600).

22288104944640 is an abundant number, since it is smaller than the sum of its proper divisors (60555478546560).

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

22288104944640 is an equidigital number, since it uses as much as digits as its factorization.

22288104944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 22288104944640 in words is "twenty-two trillion, two hundred eighty-eight billion, one hundred four million, nine hundred forty-four thousand, six hundred forty".