22345016400 has 960 divisors, whose sum is σ = 95318899200. Its totient is φ = 4926873600.

The previous prime is 22345016387. The next prime is 22345016417. The reversal of 22345016400 is 461054322.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 251067556 + ... + 251067644.

It is an arithmetic number, because the mean of its divisors is an integer number (99290520).

Almost surely, 2^22345016400 is an apocalyptic number.

22345016400 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 22345016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47659449600).

22345016400 is an abundant number, since it is smaller than the sum of its proper divisors (72973882800).

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

22345016400 is an equidigital number, since it uses as much as digits as its factorization.

22345016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 22345016400 in words is "twenty-two billion, three hundred forty-five million, sixteen thousand, four hundred".