456348683016 has 48 divisors (see below), whose sum is σ = 1236848745600. Its totient is φ = 152004917472.

The previous prime is 456348682973. The next prime is 456348683017. The reversal of 456348683016 is 610386843654.

456348683016 is a `hidden beast` number, since 4 + 563 + 4 + 8 + 68 + 3 + 0 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (456348683017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2219856 + ... + 2416703.

It is an arithmetic number, because the mean of its divisors is an integer number (25767682200).

Almost surely, 2^456348683016 is an apocalyptic number.

It is an amenable number.

456348683016 is an abundant number, since it is smaller than the sum of its proper divisors (780500062584).

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

456348683016 is a wasteful number, since it uses less digits than its factorization.

456348683016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637938 (or 4637931 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 456348683016 in words is "four hundred fifty-six billion, three hundred forty-eight million, six hundred eighty-three thousand, sixteen".