22382169264 has 640 divisors, whose sum is σ = 84774574080. Its totient is φ = 5486247936.

The previous prime is 22382169223. The next prime is 22382169283. The reversal of 22382169264 is 46296128322.

22382169264 is a `hidden beast` number, since 2 + 2 + 382 + 1 + 6 + 9 + 264 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71508372 + ... + 71508684.

It is an arithmetic number, because the mean of its divisors is an integer number (132460272).

Almost surely, 2^22382169264 is an apocalyptic number.

22382169264 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 22382169264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42387287040).

22382169264 is an abundant number, since it is smaller than the sum of its proper divisors (62392404816).

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

22382169264 is a wasteful number, since it uses less digits than its factorization.

22382169264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 22382169264 in words is "twenty-two billion, three hundred eighty-two million, one hundred sixty-nine thousand, two hundred sixty-four".