22945134912 has 112 divisors (see below), whose sum is σ = 69430757760. Its totient is φ = 6551119872.

The previous prime is 22945134859. The next prime is 22945134931. The reversal of 22945134912 is 21943154922.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×22945134912² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2194914 + ... + 2205342.

It is an arithmetic number, because the mean of its divisors is an integer number (619917480).

Almost surely, 2^22945134912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22945134912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34715378880).

22945134912 is an abundant number, since it is smaller than the sum of its proper divisors (46485622848).

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

22945134912 is a wasteful number, since it uses less digits than its factorization.

22945134912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12088 (or 12078 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The spelling of 22945134912 in words is "twenty-two billion, nine hundred forty-five million, one hundred thirty-four thousand, nine hundred twelve".