11628767151 has 12 divisors (see below), whose sum is σ = 17338950720. Its totient is φ = 7502430240.

The previous prime is 11628767113. The next prime is 11628767173. The reversal of 11628767151 is 15176782611.

11628767151 is a `hidden beast` number, since 1 + 1 + 628 + 7 + 6 + 7 + 15 + 1 = 666.

It is not a de Polignac number, because 11628767151 - 2¹⁴ = 11628750767 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11628767097 and 11628767106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11628762151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20839806 + ... + 20840363.

It is an arithmetic number, because the mean of its divisors is an integer number (1444912560).

Almost surely, 2^11628767151 is an apocalyptic number.

11628767151 is a deficient number, since it is larger than the sum of its proper divisors (5710183569).

11628767151 is a wasteful number, since it uses less digits than its factorization.

11628767151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41680206 (or 41680203 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The spelling of 11628767151 in words is "eleven billion, six hundred twenty-eight million, seven hundred sixty-seven thousand, one hundred fifty-one".