22145665937112 has 192 divisors, whose sum is σ = 64615481948160. Its totient is φ = 6831999820800.

The previous prime is 22145665937063. The next prime is 22145665937117. The reversal of 22145665937112 is 21173956654122.

22145665937112 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 566 + 5 + 9 + 3 + 71 + 1 + 2 = 666.

It is a super-3 number, since 3×22145665937112³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22145665937117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329902912 + ... + 329970032.

It is an arithmetic number, because the mean of its divisors is an integer number (336538968480).

Almost surely, 2^{22145665937112} 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 22145665937112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32307740974080).

22145665937112 is an abundant number, since it is smaller than the sum of its proper divisors (42469816011048).

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

22145665937112 is a wasteful number, since it uses less digits than its factorization.

22145665937112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73614 (or 73607 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 22145665937112 in words is "twenty-two trillion, one hundred forty-five billion, six hundred sixty-five million, nine hundred thirty-seven thousand, one hundred twelve".