22314323144001 has 8 divisors (see below), whose sum is σ = 34002778124224. Its totient is φ = 12751041796560.

The previous prime is 22314323143999. The next prime is 22314323144017. The reversal of 22314323144001 is 10044132341322.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 22314323144001 - 2¹ = 22314323143999 is a prime.

It is a super-3 number, since 3×22314323144001³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22314323144001.

It is not an unprimeable number, because it can be changed into a prime (22314323144051) 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 7 ways as a sum of consecutive naturals, for example, 531293408170 + ... + 531293408211.

It is an arithmetic number, because the mean of its divisors is an integer number (4250347265528).

Almost surely, 2^{22314323144001} is an apocalyptic number.

22314323144001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22314323144001 is a deficient number, since it is larger than the sum of its proper divisors (11688454980223).

22314323144001 is a wasteful number, since it uses less digits than its factorization.

22314323144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062586816391.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 22314323144001 its reverse (10044132341322), we get a palindrome (32358455485323).

The spelling of 22314323144001 in words is "twenty-two trillion, three hundred fourteen billion, three hundred twenty-three million, one hundred forty-four thousand, one".