22281264864 has 144 divisors (see below), whose sum is σ = 66691392768. Its totient is φ = 7316065152.

The previous prime is 22281264847. The next prime is 22281264961. The reversal of 22281264864 is 46846218222.

22281264864 is a `hidden beast` number, since 22 + 28 + 126 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499609 + ... + 542375.

It is an arithmetic number, because the mean of its divisors is an integer number (463134672).

Almost surely, 2^22281264864 is an apocalyptic number.

22281264864 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 22281264864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33345696384).

22281264864 is an abundant number, since it is smaller than the sum of its proper divisors (44410127904).

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

22281264864 is an equidigital number, since it uses as much as digits as its factorization.

22281264864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42859 (or 42839 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 22281264864 in words is "twenty-two billion, two hundred eighty-one million, two hundred sixty-four thousand, eight hundred sixty-four".