22271273136 has 320 divisors, whose sum is σ = 74845209600. Its totient is φ = 6209685504.

The previous prime is 22271273131. The next prime is 22271273203. The reversal of 22271273136 is 63137217222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22271273136.

It is not an unprimeable number, because it can be changed into a prime (22271273131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22337790 + ... + 22338786.

It is an arithmetic number, because the mean of its divisors is an integer number (233891280).

Almost surely, 2^22271273136 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 22271273136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37422604800).

22271273136 is an abundant number, since it is smaller than the sum of its proper divisors (52573936464).

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

22271273136 is a wasteful number, since it uses less digits than its factorization.

22271273136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1181 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The spelling of 22271273136 in words is "twenty-two billion, two hundred seventy-one million, two hundred seventy-three thousand, one hundred thirty-six".