11630661880081 has 8 divisors (see below), whose sum is σ = 11677270492584. Its totient is φ = 11584090277760.

The previous prime is 11630661879989. The next prime is 11630661880087. The reversal of 11630661880081 is 18008816603611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4319397395856 + 7311264484225 = 2078316^2 + 2703935^2 .

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 11630661880081 - 2⁹ = 11630661879569 is a prime.

It is a super-4 number, since 4×11630661880081⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11630661880087) 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, 8622690 + ... + 9879883.

It is an arithmetic number, because the mean of its divisors is an integer number (1459658811573).

Almost surely, 2^{11630661880081} is an apocalyptic number.

It is an amenable number.

11630661880081 is a deficient number, since it is larger than the sum of its proper divisors (46608612503).

11630661880081 is a wasteful number, since it uses less digits than its factorization.

11630661880081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18505091.

The product of its (nonzero) digits is 331776, while the sum is 49.

The spelling of 11630661880081 in words is "eleven trillion, six hundred thirty billion, six hundred sixty-one million, eight hundred eighty thousand, eighty-one".