22312665760 has 384 divisors, whose sum is σ = 67986874368. Its totient is φ = 6718464000.

The previous prime is 22312665757. The next prime is 22312665761. The reversal of 22312665760 is 6756621322.

It is a super-3 number, since 3×22312665760³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (22312665761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82334425 + ... + 82334695.

It is an arithmetic number, because the mean of its divisors is an integer number (177049152).

Almost surely, 2^22312665760 is an apocalyptic number.

22312665760 is a gapful number since it is divisible by the number (20) 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 22312665760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33993437184).

22312665760 is an abundant number, since it is smaller than the sum of its proper divisors (45674208608).

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

22312665760 is a wasteful number, since it uses less digits than its factorization.

22312665760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 22312665760 in words is "twenty-two billion, three hundred twelve million, six hundred sixty-five thousand, seven hundred sixty".