22416789270304 has 192 divisors, whose sum is σ = 52065016859520. Its totient is φ = 9366432768000.

The previous prime is 22416789270299. The next prime is 22416789270341. The reversal of 22416789270304 is 40307298761422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585852082 + ... + 2585860750.

It is an arithmetic number, because the mean of its divisors is an integer number (271171962810).

Almost surely, 2^{22416789270304} 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 22416789270304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26032508429760).

22416789270304 is an abundant number, since it is smaller than the sum of its proper divisors (29648227589216).

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

22416789270304 is a wasteful number, since it uses less digits than its factorization.

22416789270304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10995 (or 10987 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 55.

The spelling of 22416789270304 in words is "twenty-two trillion, four hundred sixteen billion, seven hundred eighty-nine million, two hundred seventy thousand, three hundred four".