22142204150144 has 192 divisors, whose sum is σ = 48038306788080. Its totient is φ = 10105913548800.

The previous prime is 22142204150117. The next prime is 22142204150147. The reversal of 22142204150144 is 44105140224122.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 22142204150144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142204150147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16033456334 + ... + 16033457714.

Almost surely, 2^{22142204150144} 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 22142204150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24019153394040).

22142204150144 is an abundant number, since it is smaller than the sum of its proper divisors (25896102637936).

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

22142204150144 is a wasteful number, since it uses less digits than its factorization.

22142204150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

Adding to 22142204150144 its reverse (44105140224122), we get a palindrome (66247344374266).

The spelling of 22142204150144 in words is "twenty-two trillion, one hundred forty-two billion, two hundred four million, one hundred fifty thousand, one hundred forty-four".