22260400464 has 80 divisors (see below), whose sum is σ = 59522083200. Its totient is φ = 7160283648.

The previous prime is 22260400453. The next prime is 22260400499. The reversal of 22260400464 is 46400406222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3480982 + ... + 3487370.

It is an arithmetic number, because the mean of its divisors is an integer number (744026040).

Almost surely, 2^22260400464 is an apocalyptic number.

22260400464 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 22260400464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29761041600).

22260400464 is an abundant number, since it is smaller than the sum of its proper divisors (37261682736).

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

22260400464 is a wasteful number, since it uses less digits than its factorization.

22260400464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8932 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 22260400464 its reverse (46400406222), we get a palindrome (68660806686).

The spelling of 22260400464 in words is "twenty-two billion, two hundred sixty million, four hundred thousand, four hundred sixty-four".