22134448464 has 80 divisors (see below), whose sum is σ = 58441616640. Its totient is φ = 7215685120.

The previous prime is 22134448451. The next prime is 22134448481. The reversal of 22134448464 is 46484443122.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3852634 + ... + 3858374.

It is an arithmetic number, because the mean of its divisors is an integer number (730520208).

Almost surely, 2^22134448464 is an apocalyptic number.

22134448464 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 22134448464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29220808320).

22134448464 is an abundant number, since it is smaller than the sum of its proper divisors (36307168176).

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

22134448464 is a wasteful number, since it uses less digits than its factorization.

22134448464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7508 (or 7502 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 22134448464 in words is "twenty-two billion, one hundred thirty-four million, four hundred forty-eight thousand, four hundred sixty-four".