22445222311413 has 288 divisors, whose sum is σ = 39922704057600. Its totient is φ = 12076119982080.

The previous prime is 22445222311397. The next prime is 22445222311511. The reversal of 22445222311413 is 31411322254422.

22445222311413 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 5 + 2 + 2 + 231 + 1 + 413 = 666.

It is not a de Polignac number, because 22445222311413 - 2⁴ = 22445222311397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22445222301413) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22245016653 + ... + 22245017661.

It is an arithmetic number, because the mean of its divisors is an integer number (138620500200).

Almost surely, 2^{22445222311413} is an apocalyptic number.

22445222311413 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22445222311413 is a deficient number, since it is larger than the sum of its proper divisors (17477481746187).

22445222311413 is a wasteful number, since it uses less digits than its factorization.

22445222311413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1739 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 22445222311413 its reverse (31411322254422), we get a palindrome (53856544565835).

The spelling of 22445222311413 in words is "twenty-two trillion, four hundred forty-five billion, two hundred twenty-two million, three hundred eleven thousand, four hundred thirteen".