11272673808661 has 8 divisors (see below), whose sum is σ = 11957834703384. Its totient is φ = 10589964295680.

The previous prime is 11272673808647. The next prime is 11272673808703. The reversal of 11272673808661 is 16680837627211.

11272673808661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6318461459025 + 4954212349636 = 2513655^2 + 2225806^2 .

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 11272673808661 - 2¹³ = 11272673800469 is a prime.

It is a super-4 number, since 4×11272673808661⁴ (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 a junction number, because it is equal to n+sod(n) for n = 11272673808596 and 11272673808605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11272673808761) 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, 612835960 + ... + 612854353.

It is an arithmetic number, because the mean of its divisors is an integer number (1494729337923).

Almost surely, 2^{11272673808661} is an apocalyptic number.

It is an amenable number.

11272673808661 is a deficient number, since it is larger than the sum of its proper divisors (685160894723).

11272673808661 is a wasteful number, since it uses less digits than its factorization.

11272673808661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225690871.

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 11272673808661 in words is "eleven trillion, two hundred seventy-two billion, six hundred seventy-three million, eight hundred eight thousand, six hundred sixty-one".