22246385071680 has 2016 divisors, whose sum is σ = 101578969320192. Its totient is φ = 4534694461440.

The previous prime is 22246385071679. The next prime is 22246385071721. The reversal of 22246385071680 is 8617058364222.

22246385071680 is a `hidden beast` number, since 2 + 2 + 2 + 46 + 3 + 8 + 507 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3490720974 + ... + 3490727346.

It is an arithmetic number, because the mean of its divisors is an integer number (50386393512).

Almost surely, 2^{22246385071680} is an apocalyptic number.

22246385071680 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 22246385071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50789484660096).

22246385071680 is an abundant number, since it is smaller than the sum of its proper divisors (79332584248512).

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

22246385071680 is a wasteful number, since it uses less digits than its factorization.

22246385071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6487 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 22246385071680 in words is "twenty-two trillion, two hundred forty-six billion, three hundred eighty-five million, seventy-one thousand, six hundred eighty".