22885813440 has 448 divisors, whose sum is σ = 97701811200. Its totient is φ = 4923113472.

The previous prime is 22885813427. The next prime is 22885813451. The reversal of 22885813440 is 4431858822.

22885813440 is a `hidden beast` number, since 2 + 28 + 8 + 581 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 1017031 + ... + 1039289.

It is an arithmetic number, because the mean of its divisors is an integer number (218084400).

Almost surely, 2^22885813440 is an apocalyptic number.

22885813440 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 22885813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48850905600).

22885813440 is an abundant number, since it is smaller than the sum of its proper divisors (74815997760).

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

22885813440 is a wasteful number, since it uses less digits than its factorization.

22885813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22309 (or 22293 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 22885813440 in words is "twenty-two billion, eight hundred eighty-five million, eight hundred thirteen thousand, four hundred forty".