456871346505 has 192 divisors, whose sum is σ = 959121326592. Its totient is φ = 196849336320.

The previous prime is 456871346497. The next prime is 456871346549. The reversal of 456871346505 is 505643178654.

It is a happy number.

456871346505 is a `hidden beast` number, since 4 + 5 + 6 + 87 + 13 + 46 + 505 = 666.

It is not a de Polignac number, because 456871346505 - 2³ = 456871346497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43785769 + ... + 43796201.

It is an arithmetic number, because the mean of its divisors is an integer number (4995423576).

Almost surely, 2^456871346505 is an apocalyptic number.

456871346505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456871346505 is an abundant number, since it is smaller than the sum of its proper divisors (502249980087).

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

456871346505 is a wasteful number, since it uses less digits than its factorization.

456871346505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10608 (or 10605 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 456871346505 in words is "four hundred fifty-six billion, eight hundred seventy-one million, three hundred forty-six thousand, five hundred five".