456116051161 has 8 divisors (see below), whose sum is σ = 466740213984. Its totient is φ = 445492652640.

The previous prime is 456116051143. The next prime is 456116051197. The reversal of 456116051161 is 161150611654.

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 456116051161 - 2¹⁹ = 456115526873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456116051161.

It is not an unprimeable number, because it can be changed into a prime (456116051101) 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 7 ways as a sum of consecutive naturals, for example, 1119906 + ... + 1471876.

It is an arithmetic number, because the mean of its divisors is an integer number (58342526748).

Almost surely, 2^456116051161 is an apocalyptic number.

It is an amenable number.

456116051161 is a deficient number, since it is larger than the sum of its proper divisors (10624162823).

456116051161 is a wasteful number, since it uses less digits than its factorization.

456116051161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382151.

The product of its (nonzero) digits is 21600, while the sum is 37.

The spelling of 456116051161 in words is "four hundred fifty-six billion, one hundred sixteen million, fifty-one thousand, one hundred sixty-one".