2161446627732 has 288 divisors, whose sum is σ = 6300560609280. Its totient is φ = 573241294080.

The previous prime is 2161446627727. The next prime is 2161446627749. The reversal of 2161446627732 is 2377266441612.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 539415673 + ... + 539419679.

It is an arithmetic number, because the mean of its divisors is an integer number (21876946560).

Almost surely, 2^{2161446627732} 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 2161446627732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150280304640).

2161446627732 is an abundant number, since it is smaller than the sum of its proper divisors (4139113981548).

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

2161446627732 is a wasteful number, since it uses less digits than its factorization.

2161446627732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5002 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The spelling of 2161446627732 in words is "two trillion, one hundred sixty-one billion, four hundred forty-six million, six hundred twenty-seven thousand, seven hundred thirty-two".