22142444002014 has 96 divisors (see below), whose sum is σ = 51858291744000. Its totient is φ = 6284313823872.

The previous prime is 22142444001971. The next prime is 22142444002031. The reversal of 22142444002014 is 41020044424122.

It is a super-3 number, since 3×22142444002014³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73447474 + ... + 73748330.

It is an arithmetic number, because the mean of its divisors is an integer number (540190539000).

Almost surely, 2^{22142444002014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142444002014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25929145872000).

22142444002014 is an abundant number, since it is smaller than the sum of its proper divisors (29715847741986).

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

22142444002014 is a wasteful number, since it uses less digits than its factorization.

22142444002014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302542 (or 302535 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 22142444002014 its reverse (41020044424122), we get a palindrome (63162488426136).

The spelling of 22142444002014 in words is "twenty-two trillion, one hundred forty-two billion, four hundred forty-four million, two thousand, fourteen".