434654224269824 has 320 divisors, whose sum is σ = 1008333292538880. Its totient is φ = 185689639157760.

The previous prime is 434654224269767. The next prime is 434654224269871. The reversal of 434654224269824 is 428962422456434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449949002 + ... + 450913974.

It is an arithmetic number, because the mean of its divisors is an integer number (3151041539184).

Almost surely, 2^{434654224269824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434654224269824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504166646269440).

434654224269824 is an abundant number, since it is smaller than the sum of its proper divisors (573679068269056).

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

434654224269824 is a wasteful number, since it uses less digits than its factorization.

434654224269824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965131 (or 965115 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 65.

The spelling of 434654224269824 in words is "four hundred thirty-four trillion, six hundred fifty-four billion, two hundred twenty-four million, two hundred sixty-nine thousand, eight hundred twenty-four".