22311168768 has 720 divisors, whose sum is σ = 81771250176. Its totient is φ = 5912248320.

The previous prime is 22311168731. The next prime is 22311168811. The reversal of 22311168768 is 86786111322.

It is a super-3 number, since 3×22311168768³ (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 136878255 + ... + 136878417.

Almost surely, 2^22311168768 is an apocalyptic number.

22311168768 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 22311168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40885625088).

22311168768 is an abundant number, since it is smaller than the sum of its proper divisors (59460081408).

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

22311168768 is a wasteful number, since it uses less digits than its factorization.

22311168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 22311168768 in words is "twenty-two billion, three hundred eleven million, one hundred sixty-eight thousand, seven hundred sixty-eight".