22326343506 has 96 divisors (see below), whose sum is σ = 51238390320. Its totient is φ = 7015680000.

The previous prime is 22326343463. The next prime is 22326343511. The reversal of 22326343506 is 60534362322.

22326343506 is a `hidden beast` number, since 22 + 32 + 63 + 43 + 506 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22010392881 + 315950625 = 148359^2 + 17775^2 .

It is a super-3 number, since 3×22326343506³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3845806 + ... + 3851606.

Almost surely, 2^22326343506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22326343506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25619195160).

22326343506 is an abundant number, since it is smaller than the sum of its proper divisors (28912046814).

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

22326343506 is a wasteful number, since it uses less digits than its factorization.

22326343506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 22326343506 in words is "twenty-two billion, three hundred twenty-six million, three hundred forty-three thousand, five hundred six".