22326834816 has 720 divisors, whose sum is σ = 80834978070. Its totient is φ = 6076477440.

The previous prime is 22326834799. The next prime is 22326834863. The reversal of 22326834816 is 61843862322.

22326834816 is a `hidden beast` number, since 2 + 232 + 68 + 348 + 16 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 21934794816 + 392040000 = 148104^2 + 19800^2 .

It is a super-3 number, since 3×22326834816³ (a number of 32 digits) contains 333 as substring.

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 89 ways as a sum of consecutive naturals, for example, 603427950 + ... + 603427986.

Almost surely, 2^22326834816 is an apocalyptic number.

22326834816 is a gapful number since it is divisible by the number (26) 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 22326834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40417489035).

22326834816 is an abundant number, since it is smaller than the sum of its proper divisors (58508143254).

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

22326834816 is a wasteful number, since it uses less digits than its factorization.

22326834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 66 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 22326834816 in words is "twenty-two billion, three hundred twenty-six million, eight hundred thirty-four thousand, eight hundred sixteen".