22413213241344 has 312 divisors, whose sum is σ = 68182939000800. Its totient is φ = 7074313666560.

The previous prime is 22413213241337. The next prime is 22413213241357. The reversal of 22413213241344 is 44314231231422.

22413213241344 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 321 + 324 + 1 + 3 + 4 + 4 = 666.

It is a super-3 number, since 3×22413213241344³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22413213241299 and 22413213241308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1638266184 + ... + 1638279864.

It is an arithmetic number, because the mean of its divisors is an integer number (218535060900).

Almost surely, 2^{22413213241344} is an apocalyptic number.

22413213241344 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 22413213241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34091469500400).

22413213241344 is an abundant number, since it is smaller than the sum of its proper divisors (45769725759456).

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

22413213241344 is a wasteful number, since it uses less digits than its factorization.

22413213241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16069 (or 16044 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 22413213241344 its reverse (44314231231422), we get a palindrome (66727444472766).

The spelling of 22413213241344 in words is "twenty-two trillion, four hundred thirteen billion, two hundred thirteen million, two hundred forty-one thousand, three hundred forty-four".