22685815152 has 1120 divisors, whose sum is σ = 92899054080. Its totient is φ = 5173217280.

The previous prime is 22685815127. The next prime is 22685815177. The reversal of 22685815152 is 25151858622.

22685815152 is a `hidden beast` number, since 2 + 2 + 68 + 581 + 5 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22685815127) and next prime (22685815177).

It is a super-2 number, since 2×22685815152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22685815098 and 22685815107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 338594223 + ... + 338594289.

It is an arithmetic number, because the mean of its divisors is an integer number (82945584).

Almost surely, 2^22685815152 is an apocalyptic number.

22685815152 is a gapful number since it is divisible by the number (22) 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 22685815152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46449527040).

22685815152 is an abundant number, since it is smaller than the sum of its proper divisors (70213238928).

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

22685815152 is a wasteful number, since it uses less digits than its factorization.

22685815152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its digits is 384000, while the sum is 45.

The spelling of 22685815152 in words is "twenty-two billion, six hundred eighty-five million, eight hundred fifteen thousand, one hundred fifty-two".