22256442513144 has 192 divisors, whose sum is σ = 73903897267200. Its totient is φ = 6139708170624.

The previous prime is 22256442513133. The next prime is 22256442513163. The reversal of 22256442513144 is 44131524465222.

22256442513144 is a `hidden beast` number, since 2 + 2 + 2 + 56 + 4 + 42 + 513 + 1 + 44 = 666.

It is a super-2 number, since 2×22256442513144² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22256442513144.

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, 27804352 + ... + 28593615.

It is an arithmetic number, because the mean of its divisors is an integer number (384916131600).

Almost surely, 2^{22256442513144} is an apocalyptic number.

22256442513144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22256442513144 is an abundant number, since it is smaller than the sum of its proper divisors (51647454754056).

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

22256442513144 is a wasteful number, since it uses less digits than its factorization.

22256442513144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56398024 (or 56398008 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

Adding to 22256442513144 its reverse (44131524465222), we get a palindrome (66387966978366).

The spelling of 22256442513144 in words is "twenty-two trillion, two hundred fifty-six billion, four hundred forty-two million, five hundred thirteen thousand, one hundred forty-four".