22142011024314 has 80 divisors (see below), whose sum is σ = 50461153475040. Its totient is φ = 7254751197600.

The previous prime is 22142011024313. The next prime is 22142011024391. The reversal of 22142011024314 is 41342011024122.

22142011024314 is a `hidden beast` number, since 2 + 2 + 14 + 201 + 10 + 2 + 431 + 4 = 666.

It is a super-2 number, since 2×22142011024314² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22142011024313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87166389 + ... + 87420039.

It is an arithmetic number, because the mean of its divisors is an integer number (630764418438).

Almost surely, 2^{22142011024314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142011024314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25230576737520).

22142011024314 is an abundant number, since it is smaller than the sum of its proper divisors (28319142450726).

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

22142011024314 is a wasteful number, since it uses less digits than its factorization.

22142011024314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262857 (or 262848 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 22142011024314 its reverse (41342011024122), we get a palindrome (63484022048436).

The spelling of 22142011024314 in words is "twenty-two trillion, one hundred forty-two billion, eleven million, twenty-four thousand, three hundred fourteen".