11627523717121 has 8 divisors (see below), whose sum is σ = 12522714762600. Its totient is φ = 10732442120832.

The previous prime is 11627523717079. The next prime is 11627523717193. The reversal of 11627523717121 is 12171732572611.

It can be written as a sum of positive squares in 4 ways, for example, as 27614130625 + 11599909586496 = 166175^2 + 3405864^2 .

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 11627523717121 - 2⁷ = 11627523716993 is a prime.

It is a super-2 number, since 2×11627523717121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11627523711121) 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, 27141580 + ... + 27566653.

It is an arithmetic number, because the mean of its divisors is an integer number (1565339345325).

Almost surely, 2^{11627523717121} is an apocalyptic number.

It is an amenable number.

11627523717121 is a deficient number, since it is larger than the sum of its proper divisors (895191045479).

11627523717121 is a wasteful number, since it uses less digits than its factorization.

11627523717121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54724595.

The product of its digits is 246960, while the sum is 46.

The spelling of 11627523717121 in words is "eleven trillion, six hundred twenty-seven billion, five hundred twenty-three million, seven hundred seventeen thousand, one hundred twenty-one".