456511354605161 has 8 divisors (see below), whose sum is σ = 456782614970400. Its totient is φ = 456240122877888.

The previous prime is 456511354605139. The next prime is 456511354605209. The reversal of 456511354605161 is 161506453115654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456511354605161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456511354605101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24773825 + ... + 39073841.

It is an arithmetic number, because the mean of its divisors is an integer number (57097826871300).

Almost surely, 2^{456511354605161} is an apocalyptic number.

It is an amenable number.

456511354605161 is a deficient number, since it is larger than the sum of its proper divisors (271260365239).

456511354605161 is a wasteful number, since it uses less digits than its factorization.

456511354605161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14318983.

The product of its (nonzero) digits is 6480000, while the sum is 53.

The spelling of 456511354605161 in words is "four hundred fifty-six trillion, five hundred eleven billion, three hundred fifty-four million, six hundred five thousand, one hundred sixty-one".