22650819264 has 168 divisors, whose sum is σ = 67930196880. Its totient is φ = 7482875904.

The previous prime is 22650819263. The next prime is 22650819281. The reversal of 22650819264 is 46291805622.

It is a super-2 number, since 2×22650819264² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22650819263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750932 + ... + 1763820.

It is an arithmetic number, because the mean of its divisors is an integer number (404346410).

Almost surely, 2^22650819264 is an apocalyptic number.

22650819264 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 22650819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33965098440).

22650819264 is an abundant number, since it is smaller than the sum of its proper divisors (45279377616).

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

22650819264 is a wasteful number, since it uses less digits than its factorization.

22650819264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13029 (or 13007 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 22650819264 in words is "twenty-two billion, six hundred fifty million, eight hundred nineteen thousand, two hundred sixty-four".