456014353142316 has 24 divisors (see below), whose sum is σ = 1064101053078000. Its totient is φ = 151995132607552.

The previous prime is 456014353142291. The next prime is 456014353142321. The reversal of 456014353142316 is 613241353410654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1206274791 + ... + 1206652766.

It is an arithmetic number, because the mean of its divisors is an integer number (44337543878250).

Almost surely, 2^{456014353142316} is an apocalyptic number.

It is an amenable number.

456014353142316 is an abundant number, since it is smaller than the sum of its proper divisors (608086699935684).

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

456014353142316 is a wasteful number, since it uses less digits than its factorization.

456014353142316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412943313 (or 2412943311 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 456014353142316 in words is "four hundred fifty-six trillion, fourteen billion, three hundred fifty-three million, one hundred forty-two thousand, three hundred sixteen".