434502203968 has 336 divisors, whose sum is σ = 1054731870720. Its totient is φ = 173868871680.

The previous prime is 434502203953. The next prime is 434502203981. The reversal of 434502203968 is 869302205434.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2205594846 + ... + 2205595042.

Almost surely, 2^434502203968 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 434502203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527365935360).

434502203968 is an abundant number, since it is smaller than the sum of its proper divisors (620229666752).

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

434502203968 is a wasteful number, since it uses less digits than its factorization.

434502203968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 434502203968 in words is "four hundred thirty-four billion, five hundred two million, two hundred three thousand, nine hundred sixty-eight".