22645720987668 has 144 divisors (see below), whose sum is σ = 58614655881600. Its totient is φ = 7369600008960.

The previous prime is 22645720987667. The next prime is 22645720987693. The reversal of 22645720987668 is 86678902754622.

22645720987668 is a `hidden beast` number, since 2 + 2 + 6 + 457 + 20 + 98 + 7 + 6 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22645720987596 and 22645720987605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22645720987667) 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, 337654858 + ... + 337721918.

It is an arithmetic number, because the mean of its divisors is an integer number (407046221400).

Almost surely, 2^{22645720987668} 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 22645720987668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29307327940800).

22645720987668 is an abundant number, since it is smaller than the sum of its proper divisors (35968934893932).

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

22645720987668 is a wasteful number, since it uses less digits than its factorization.

22645720987668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68222 (or 68217 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 22645720987668 in words is "twenty-two trillion, six hundred forty-five billion, seven hundred twenty million, nine hundred eighty-seven thousand, six hundred sixty-eight".