22624116696 has 256 divisors, whose sum is σ = 69181440000. Its totient is φ = 6823440000.

The previous prime is 22624116689. The next prime is 22624116703. The reversal of 22624116696 is 69661142622.

22624116696 is a `hidden beast` number, since 2 + 2 + 624 + 1 + 16 + 6 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (22624116689) and next prime (22624116703).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 10049571 + ... + 10051821.

It is an arithmetic number, because the mean of its divisors is an integer number (270240000).

Almost surely, 2^22624116696 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 22624116696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34590720000).

22624116696 is an abundant number, since it is smaller than the sum of its proper divisors (46557323304).

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

22624116696 is a wasteful number, since it uses less digits than its factorization.

22624116696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2385 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 22624116696 in words is "twenty-two billion, six hundred twenty-four million, one hundred sixteen thousand, six hundred ninety-six".