11628807625161 has 12 divisors (see below), whose sum is σ = 16797293261892. Its totient is φ = 7752479943456.

The previous prime is 11628807625147. The next prime is 11628807625163. The reversal of 11628807625161 is 16152670882611.

11628807625161 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 8 + 8 + 0 + 7 + 625 + 1 + 6 + 1 = 666.

11628807625161 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 2 ways, for example, as 5258009511225 + 6370798113936 = 2293035^2 + 2524044^2 .

It is not a de Polignac number, because 11628807625161 - 2⁹ = 11628807624649 is a prime.

It is a Smith number, since the sum of its digits (54) 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 = 11628807625098 and 11628807625107.

It is not an unprimeable number, because it can be changed into a prime (11628807625163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3595626 + ... + 6015491.

It is an arithmetic number, because the mean of its divisors is an integer number (1399774438491).

Almost surely, 2^{11628807625161} is an apocalyptic number.

It is an amenable number.

11628807625161 is a deficient number, since it is larger than the sum of its proper divisors (5168485636731).

11628807625161 is a wasteful number, since it uses less digits than its factorization.

11628807625161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9745560 (or 9745557 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 11628807625161 in words is "eleven trillion, six hundred twenty-eight billion, eight hundred seven million, six hundred twenty-five thousand, one hundred sixty-one".