22945214400 has 168 divisors, whose sum is σ = 75500636400. Its totient is φ = 6100746240.

The previous prime is 22945214399. The next prime is 22945214419. The reversal of 22945214400 is 441254922.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 1668352 + ... + 1682048.

It is an arithmetic number, because the mean of its divisors is an integer number (449408550).

Almost surely, 2^22945214400 is an apocalyptic number.

22945214400 is a gapful number since it is divisible by the number (20) 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 22945214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37750318200).

22945214400 is an abundant number, since it is smaller than the sum of its proper divisors (52555422000).

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

22945214400 is a wasteful number, since it uses less digits than its factorization.

22945214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14071 (or 14056 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 22945214400 in words is "twenty-two billion, nine hundred forty-five million, two hundred fourteen thousand, four hundred".