22328292168 has 864 divisors, whose sum is σ = 84290824800. Its totient is φ = 5502422016.

The previous prime is 22328292137. The next prime is 22328292191. The reversal of 22328292168 is 86129282322.

22328292168 is a `hidden beast` number, since 22 + 328 + 292 + 16 + 8 = 666.

It is a super-3 number, since 3×22328292168³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 215 ways as a sum of consecutive naturals, for example, 305866980 + ... + 305867052.

It is an arithmetic number, because the mean of its divisors is an integer number (97558825).

Almost surely, 2^22328292168 is an apocalyptic number.

22328292168 is a gapful number since it is divisible by the number (28) 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 22328292168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42145412400).

22328292168 is an abundant number, since it is smaller than the sum of its proper divisors (61962532632).

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

22328292168 is a wasteful number, since it uses less digits than its factorization.

22328292168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 117 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

It can be divided in two parts, 2232 and 8292168, that added together give a square (8294400 = 2880²).

The spelling of 22328292168 in words is "twenty-two billion, three hundred twenty-eight million, two hundred ninety-two thousand, one hundred sixty-eight".