22286155528128 has 336 divisors, whose sum is σ = 65923960022784. Its totient is φ = 6620633210880.

The previous prime is 22286155528097. The next prime is 22286155528141. The reversal of 22286155528128 is 82182555168222.

It is a super-3 number, since 3×22286155528128³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4137022651 + ... + 4137028037.

Almost surely, 2^{22286155528128} 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 22286155528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32961980011392).

22286155528128 is an abundant number, since it is smaller than the sum of its proper divisors (43637804494656).

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

22286155528128 is a wasteful number, since it uses less digits than its factorization.

22286155528128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8968 (or 8939 counting only the distinct ones).

The product of its digits is 12288000, while the sum is 57.

The spelling of 22286155528128 in words is "twenty-two trillion, two hundred eighty-six billion, one hundred fifty-five million, five hundred twenty-eight thousand, one hundred twenty-eight".