22150505306896 has 80 divisors (see below), whose sum is σ = 46746703555200. Its totient is φ = 10127600308224.

The previous prime is 22150505306807. The next prime is 22150505306981. The reversal of 22150505306896 is 69860350505122.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 30167040 + ... + 30892576.

It is an arithmetic number, because the mean of its divisors is an integer number (584333794440).

Almost surely, 2^{22150505306896} 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 22150505306896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23373351777600).

22150505306896 is an abundant number, since it is smaller than the sum of its proper divisors (24596198248304).

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

22150505306896 is a wasteful number, since it uses less digits than its factorization.

22150505306896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729056 (or 729050 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 52.

The spelling of 22150505306896 in words is "twenty-two trillion, one hundred fifty billion, five hundred five million, three hundred six thousand, eight hundred ninety-six".