11456630412161 has 16 divisors (see below), whose sum is σ = 13047728443200. Its totient is φ = 9963719841600.

The previous prime is 11456630412113. The next prime is 11456630412169. The reversal of 11456630412161 is 16121403665411.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11456630412161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11456630412169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164709275 + ... + 164778816.

It is an arithmetic number, because the mean of its divisors is an integer number (815483027700).

Almost surely, 2^{11456630412161} is an apocalyptic number.

11456630412161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11456630412161 is a deficient number, since it is larger than the sum of its proper divisors (1591098031039).

11456630412161 is a wasteful number, since it uses less digits than its factorization.

11456630412161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329488240.

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 11456630412161 in words is "eleven trillion, four hundred fifty-six billion, six hundred thirty million, four hundred twelve thousand, one hundred sixty-one".