11505166611651 has 24 divisors (see below), whose sum is σ = 17244722214720. Its totient is φ = 7665373251432.

The previous prime is 11505166611649. The next prime is 11505166611721. The reversal of 11505166611651 is 15611666150511.

It is not a de Polignac number, because 11505166611651 - 2¹ = 11505166611649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11505166611597 and 11505166611606.

It is not an unprimeable number, because it can be changed into a prime (11505166601651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14228685 + ... + 15015518.

It is an arithmetic number, because the mean of its divisors is an integer number (718530092280).

Almost surely, 2^{11505166611651} is an apocalyptic number.

11505166611651 is a deficient number, since it is larger than the sum of its proper divisors (5739555603069).

11505166611651 is an equidigital number, since it uses as much as digits as its factorization.

11505166611651 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29245837 (or 29245825 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The spelling of 11505166611651 in words is "eleven trillion, five hundred five billion, one hundred sixty-six million, six hundred eleven thousand, six hundred fifty-one".