22264400013 has 64 divisors (see below), whose sum is σ = 33662304000. Its totient is φ = 13005619200.

The previous prime is 22264399973. The next prime is 22264400069. The reversal of 22264400013 is 31000446222.

It is not a de Polignac number, because 22264400013 - 2¹⁴ = 22264383629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22264400413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31760563 + ... + 31761263.

It is an arithmetic number, because the mean of its divisors is an integer number (525973500).

Almost surely, 2^22264400013 is an apocalyptic number.

It is an amenable number.

22264400013 is a deficient number, since it is larger than the sum of its proper divisors (11397903987).

22264400013 is a wasteful number, since it uses less digits than its factorization.

22264400013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22264400013 its reverse (31000446222), we get a palindrome (53264846235).

The spelling of 22264400013 in words is "twenty-two billion, two hundred sixty-four million, four hundred thousand, thirteen".