22713320448 has 792 divisors, whose sum is σ = 84857369688. Its totient is φ = 5796790272.

The previous prime is 22713320431. The next prime is 22713320477. The reversal of 22713320448 is 84402331722.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2608349184 + 20104971264 = 51072^2 + 141792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 311141340 + ... + 311141412.

Almost surely, 2^22713320448 is an apocalyptic number.

22713320448 is a gapful number since it is divisible by the number (28) 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 22713320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42428684844).

22713320448 is an abundant number, since it is smaller than the sum of its proper divisors (62144049240).

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

22713320448 is a wasteful number, since it uses less digits than its factorization.

22713320448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 22713320448 in words is "twenty-two billion, seven hundred thirteen million, three hundred twenty thousand, four hundred forty-eight".