22134430254144 has 448 divisors, whose sum is σ = 67944952857600. Its totient is φ = 6302258307072.

The previous prime is 22134430254137. The next prime is 22134430254229. The reversal of 22134430254144 is 44145203443122.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439263319 + ... + 439313705.

It is an arithmetic number, because the mean of its divisors is an integer number (151662841200).

Almost surely, 2^{22134430254144} is an apocalyptic number.

22134430254144 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 22134430254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33972476428800).

22134430254144 is an abundant number, since it is smaller than the sum of its proper divisors (45810522603456).

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

22134430254144 is a wasteful number, since it uses less digits than its factorization.

22134430254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50650 (or 50640 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

Adding to 22134430254144 its reverse (44145203443122), we get a palindrome (66279633697266).

The spelling of 22134430254144 in words is "twenty-two trillion, one hundred thirty-four billion, four hundred thirty million, two hundred fifty-four thousand, one hundred forty-four".