22131479664 has 480 divisors, whose sum is σ = 76240120320. Its totient is φ = 6084688896.

The previous prime is 22131479633. The next prime is 22131479677. The reversal of 22131479664 is 46697413122.

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 95 ways as a sum of consecutive naturals, for example, 96643902 + ... + 96644130.

It is an arithmetic number, because the mean of its divisors is an integer number (158833584).

Almost surely, 2^22131479664 is an apocalyptic number.

22131479664 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 22131479664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38120060160).

22131479664 is an abundant number, since it is smaller than the sum of its proper divisors (54108640656).

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

22131479664 is a wasteful number, since it uses less digits than its factorization.

22131479664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 361 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 22131479664 in words is "twenty-two billion, one hundred thirty-one million, four hundred seventy-nine thousand, six hundred sixty-four".