22434160320 has 1344 divisors, whose sum is σ = 99053660160. Its totient is φ = 4578508800.

The previous prime is 22434160303. The next prime is 22434160349. The reversal of 22434160320 is 2306143422.

22434160320 is a `hidden beast` number, since 2 + 2 + 4 + 34 + 1 + 603 + 20 = 666.

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, 367773090 + ... + 367773150.

It is an arithmetic number, because the mean of its divisors is an integer number (73700640).

Almost surely, 2^22434160320 is an apocalyptic number.

22434160320 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 22434160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49526830080).

22434160320 is an abundant number, since it is smaller than the sum of its proper divisors (76619499840).

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

22434160320 is a wasteful number, since it uses less digits than its factorization.

22434160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 22434160320 in words is "twenty-two billion, four hundred thirty-four million, one hundred sixty thousand, three hundred twenty".