434943096864 has 72 divisors (see below), whose sum is σ = 1161405791280. Its totient is φ = 142523617152.

The previous prime is 434943096857. The next prime is 434943096877. The reversal of 434943096864 is 468690349434.

It is a junction number, because it is equal to n+sod(n) for n = 434943096798 and 434943096807.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316594 + ... + 984945.

It is an arithmetic number, because the mean of its divisors is an integer number (16130635990).

Almost surely, 2^434943096864 is an apocalyptic number.

It is an amenable number.

434943096864 is an abundant number, since it is smaller than the sum of its proper divisors (726462694416).

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

434943096864 is a wasteful number, since it uses less digits than its factorization.

434943096864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301670 (or 1301603 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 60.

The spelling of 434943096864 in words is "four hundred thirty-four billion, nine hundred forty-three million, ninety-six thousand, eight hundred sixty-four".