221640241266272 has 96 divisors (see below), whose sum is σ = 446986329979392. Its totient is φ = 108134444081664.

The previous prime is 221640241266271. The next prime is 221640241266289. The reversal of 221640241266272 is 272662142046122.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221640241266271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195874603 + ... + 1196059925.

It is an arithmetic number, because the mean of its divisors is an integer number (4656107603952).

Almost surely, 2^{221640241266272} 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 221640241266272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223493164989696).

221640241266272 is an abundant number, since it is smaller than the sum of its proper divisors (225346088713120).

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

221640241266272 is a wasteful number, since it uses less digits than its factorization.

221640241266272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187780 (or 187772 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The spelling of 221640241266272 in words is "two hundred twenty-one trillion, six hundred forty billion, two hundred forty-one million, two hundred sixty-six thousand, two hundred seventy-two".