2761632096161 has 8 divisors (see below), whose sum is σ = 2925388227240. Its totient is φ = 2598021207808.

The previous prime is 2761632096149. The next prime is 2761632096187. The reversal of 2761632096161 is 1616902361672.

It can be written as a sum of positive squares in 4 ways, for example, as 1856624256400 + 905007839761 = 1362580^2 + 951319^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2761632096161 - 2³⁴ = 2744452226977 is a prime.

It is a super-2 number, since 2×2761632096161² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2761632096761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36271526 + ... + 36347583.

It is an arithmetic number, because the mean of its divisors is an integer number (365673528405).

Almost surely, 2^{2761632096161} is an apocalyptic number.

It is an amenable number.

2761632096161 is a deficient number, since it is larger than the sum of its proper divisors (163756131079).

2761632096161 is a wasteful number, since it uses less digits than its factorization.

2761632096161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72621363.

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 2761632096161 in words is "two trillion, seven hundred sixty-one billion, six hundred thirty-two million, ninety-six thousand, one hundred sixty-one".