22444299936 has 288 divisors, whose sum is σ = 69612540480. Its totient is φ = 7034190336.

The previous prime is 22444299931. The next prime is 22444299949. The reversal of 22444299936 is 63999244422.

22444299936 is a `hidden beast` number, since 2 + 24 + 442 + 99 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22444299931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70802050 + ... + 70802366.

It is an arithmetic number, because the mean of its divisors is an integer number (241710210).

Almost surely, 2^22444299936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22444299936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34806270240).

22444299936 is an abundant number, since it is smaller than the sum of its proper divisors (47168240544).

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

22444299936 is a wasteful number, since it uses less digits than its factorization.

22444299936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 568 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 22444299936 in words is "twenty-two billion, four hundred forty-four million, two hundred ninety-nine thousand, nine hundred thirty-six".