22242640171584 has 448 divisors, whose sum is σ = 72516783144960. Its totient is φ = 5876872151040.

The previous prime is 22242640171571. The next prime is 22242640171597. The reversal of 22242640171584 is 48517104624222.

It is an interprime number because it is at equal distance from previous prime (22242640171571) and next prime (22242640171597).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×22242640171584² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1024381912 + ... + 1024403624.

It is an arithmetic number, because the mean of its divisors is an integer number (161867819520).

Almost surely, 2^{22242640171584} is an apocalyptic number.

22242640171584 is a gapful number since it is divisible by the number (24) 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 22242640171584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36258391572480).

22242640171584 is an abundant number, since it is smaller than the sum of its proper divisors (50274142973376).

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

22242640171584 is a wasteful number, since it uses less digits than its factorization.

22242640171584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22858 (or 22848 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 22242640171584 in words is "twenty-two trillion, two hundred forty-two billion, six hundred forty million, one hundred seventy-one thousand, five hundred eighty-four".