22144296960 has 576 divisors, whose sum is σ = 82913725440. Its totient is φ = 5449973760.

The previous prime is 22144296931. The next prime is 22144296989. The reversal of 22144296960 is 6969244122.

22144296960 is a `hidden beast` number, since 2 + 214 + 429 + 6 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22144296931) and next prime (22144296989).

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 65709912 + ... + 65710248.

It is an arithmetic number, because the mean of its divisors is an integer number (143947440).

Almost surely, 2^22144296960 is an apocalyptic number.

22144296960 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 22144296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41456862720).

22144296960 is an abundant number, since it is smaller than the sum of its proper divisors (60769428480).

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

22144296960 is a wasteful number, since it uses less digits than its factorization.

22144296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 22144296960 in words is "twenty-two billion, one hundred forty-four million, two hundred ninety-six thousand, nine hundred sixty".