456411110085 has 48 divisors (see below), whose sum is σ = 933294136320. Its totient is φ = 201914588160.

The previous prime is 456411110081. The next prime is 456411110143. The reversal of 456411110085 is 580011114654.

456411110085 is a `hidden beast` number, since 4 + 5 + 641 + 1 + 1 + 1 + 0 + 0 + 8 + 5 = 666.

It is not a de Polignac number, because 456411110085 - 2² = 456411110081 is a prime.

It is a super-2 number, since 2×456411110085² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456411110081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23359980 + ... + 23379509.

It is an arithmetic number, because the mean of its divisors is an integer number (19443627840).

Almost surely, 2^456411110085 is an apocalyptic number.

456411110085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456411110085 is an abundant number, since it is smaller than the sum of its proper divisors (476883026235).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456411110085 is a wasteful number, since it uses less digits than its factorization.

456411110085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46739538 (or 46739535 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 456411110085 in words is "four hundred fifty-six billion, four hundred eleven million, one hundred ten thousand, eighty-five".