22434836544 has 224 divisors, whose sum is σ = 67196451840. Its totient is φ = 7338553344.

The previous prime is 22434836497. The next prime is 22434836561. The reversal of 22434836544 is 44563843422.

22434836544 is a `hidden beast` number, since 2 + 24 + 3 + 4 + 83 + 6 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22434836544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36959889 + ... + 36960495.

It is an arithmetic number, because the mean of its divisors is an integer number (299984160).

Almost surely, 2^22434836544 is an apocalyptic number.

22434836544 is a gapful number since it is divisible by the number (24) 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 22434836544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33598225920).

22434836544 is an abundant number, since it is smaller than the sum of its proper divisors (44761615296).

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

22434836544 is a wasteful number, since it uses less digits than its factorization.

22434836544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 978 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 45.

The spelling of 22434836544 in words is "twenty-two billion, four hundred thirty-four million, eight hundred thirty-six thousand, five hundred forty-four".