22163661312 has 320 divisors, whose sum is σ = 66061771776. Its totient is φ = 6559580160.

The previous prime is 22163661287. The next prime is 22163661313. The reversal of 22163661312 is 21316636122.

It is a super-2 number, since 2×22163661312² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22163661313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71265637 + ... + 71265947.

Almost surely, 2^22163661312 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 22163661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33030885888).

22163661312 is an abundant number, since it is smaller than the sum of its proper divisors (43898110464).

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

22163661312 is a wasteful number, since it uses less digits than its factorization.

22163661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 455 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The spelling of 22163661312 in words is "twenty-two billion, one hundred sixty-three million, six hundred sixty-one thousand, three hundred twelve".