22958214400 has 216 divisors, whose sum is σ = 65641048704. Its totient is φ = 7856947200.

The previous prime is 22958214373. The next prime is 22958214427. The reversal of 22958214400 is 441285922.

It is an interprime number because it is at equal distance from previous prime (22958214373) and next prime (22958214427).

It is a self number, because there is not a number n which added to its sum of digits gives 22958214400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1187209 + ... + 1206391.

It is an arithmetic number, because the mean of its divisors is an integer number (303893744).

Almost surely, 2^22958214400 is an apocalyptic number.

22958214400 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 22958214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32820524352).

22958214400 is an abundant number, since it is smaller than the sum of its proper divisors (42682834304).

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

22958214400 is a wasteful number, since it uses less digits than its factorization.

22958214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19237 (or 19218 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 22958214400 in words is "twenty-two billion, nine hundred fifty-eight million, two hundred fourteen thousand, four hundred".