22171463832672 has 1728 divisors, whose sum is σ = 88014410265600. Its totient is φ = 5413771883520.

The previous prime is 22171463832629. The next prime is 22171463832731. The reversal of 22171463832672 is 27623836417122.

22171463832672 is a `hidden beast` number, since 2 + 2 + 17 + 1 + 463 + 83 + 26 + 72 = 666.

It is a super-2 number, since 2×22171463832672² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11069127223 + ... + 11069129225.

It is an arithmetic number, because the mean of its divisors is an integer number (50934265200).

Almost surely, 2^{22171463832672} is an apocalyptic number.

22171463832672 is a gapful number since it is divisible by the number (22) 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 22171463832672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44007205132800).

22171463832672 is an abundant number, since it is smaller than the sum of its proper divisors (65842946432928).

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

22171463832672 is a wasteful number, since it uses less digits than its factorization.

22171463832672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2184 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 22171463832672 in words is "twenty-two trillion, one hundred seventy-one billion, four hundred sixty-three million, eight hundred thirty-two thousand, six hundred seventy-two".