22268665106688 has 864 divisors, whose sum is σ = 84719941189632. Its totient is φ = 5025035059200.

The previous prime is 22268665106621. The next prime is 22268665106711. The reversal of 22268665106688 is 88660156686222.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169832193 + ... + 169963263.

It is an arithmetic number, because the mean of its divisors is an integer number (98055487488).

Almost surely, 2^{22268665106688} is an apocalyptic number.

22268665106688 is a gapful number since it is divisible by the number (28) 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 22268665106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42359970594816).

22268665106688 is an abundant number, since it is smaller than the sum of its proper divisors (62451276082944).

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

22268665106688 is a wasteful number, since it uses less digits than its factorization.

22268665106688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131151 (or 131124 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 66.

The spelling of 22268665106688 in words is "twenty-two trillion, two hundred sixty-eight billion, six hundred sixty-five million, one hundred six thousand, six hundred eighty-eight".