2271531449616 has 160 divisors (see below), whose sum is σ = 6899344663680. Its totient is φ = 634902528000.

The previous prime is 2271531449609. The next prime is 2271531449617. The reversal of 2271531449616 is 6169441351722.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2271531449617) 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 31 ways as a sum of consecutive naturals, for example, 8802880 + ... + 9057248.

It is an arithmetic number, because the mean of its divisors is an integer number (43120904148).

Almost surely, 2^{2271531449616} is an apocalyptic number.

2271531449616 is a gapful number since it is divisible by the number (26) 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 2271531449616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449672331840).

2271531449616 is an abundant number, since it is smaller than the sum of its proper divisors (4627813214064).

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

2271531449616 is a wasteful number, since it uses less digits than its factorization.

2271531449616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255705 (or 255699 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The spelling of 2271531449616 in words is "two trillion, two hundred seventy-one billion, five hundred thirty-one million, four hundred forty-nine thousand, six hundred sixteen".