22445246304 has 288 divisors, whose sum is σ = 70634229120. Its totient is φ = 6717689856.

The previous prime is 22445246303. The next prime is 22445246311. The reversal of 22445246304 is 40364254422.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22445246303) 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, 40296394 + ... + 40296950.

It is an arithmetic number, because the mean of its divisors is an integer number (245257740).

Almost surely, 2^22445246304 is an apocalyptic number.

22445246304 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 22445246304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35317114560).

22445246304 is an abundant number, since it is smaller than the sum of its proper divisors (48188982816).

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

22445246304 is a wasteful number, since it uses less digits than its factorization.

22445246304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 22445246304 in words is "twenty-two billion, four hundred forty-five million, two hundred forty-six thousand, three hundred four".