22867020804096 has 728 divisors, whose sum is σ = 78837028268544. Its totient is φ = 6493320806400.

The previous prime is 22867020804083. The next prime is 22867020804097. The reversal of 22867020804096 is 69040802076822.

22867020804096 is a `hidden beast` number, since 2 + 28 + 6 + 7 + 0 + 208 + 0 + 409 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22867020804097) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3490612021 + ... + 3490618571.

It is an arithmetic number, because the mean of its divisors is an integer number (108292621248).

Almost surely, 2^{22867020804096} 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 22867020804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39418514134272).

22867020804096 is an abundant number, since it is smaller than the sum of its proper divisors (55970007464448).

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

22867020804096 is an frugal number, since it uses more digits than its factorization.

22867020804096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6767 (or 6730 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 22867020804096 in words is "twenty-two trillion, eight hundred sixty-seven billion, twenty million, eight hundred four thousand, ninety-six".