22326613416 has 256 divisors, whose sum is σ = 66510028800. Its totient is φ = 6927379200.

The previous prime is 22326613367. The next prime is 22326613471. The reversal of 22326613416 is 61431662322.

22326613416 is a `hidden beast` number, since 2 + 2 + 3 + 26 + 613 + 4 + 16 = 666.

It is a super-3 number, since 3×22326613416³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 19196851 + ... + 19198013.

It is an arithmetic number, because the mean of its divisors is an integer number (259804800).

Almost surely, 2^22326613416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22326613416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33255014400).

22326613416 is an abundant number, since it is smaller than the sum of its proper divisors (44183415384).

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

22326613416 is a wasteful number, since it uses less digits than its factorization.

22326613416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1307 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 22326613416 in words is "twenty-two billion, three hundred twenty-six million, six hundred thirteen thousand, four hundred sixteen".