22142571666432 has 176 divisors, whose sum is σ = 67465347493632. Its totient is φ = 6324931952640.

The previous prime is 22142571666431. The next prime is 22142571666433. The reversal of 22142571666432 is 23466617524122.

It is an interprime number because it is at equal distance from previous prime (22142571666431) and next prime (22142571666433).

It is a super-2 number, since 2×22142571666432² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142571666431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91120132 + ... + 91362812.

It is an arithmetic number, because the mean of its divisors is an integer number (383325838032).

Almost surely, 2^{22142571666432} 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 22142571666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33732673746816).

22142571666432 is an abundant number, since it is smaller than the sum of its proper divisors (45322775827200).

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

22142571666432 is a wasteful number, since it uses less digits than its factorization.

22142571666432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246954 (or 246936 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 22142571666432 in words is "twenty-two trillion, one hundred forty-two billion, five hundred seventy-one million, six hundred sixty-six thousand, four hundred thirty-two".