434668096018008 has 192 divisors, whose sum is σ = 1226540479600800. Its totient is φ = 138941276866560.

The previous prime is 434668096017979. The next prime is 434668096018033. The reversal of 434668096018008 is 800810690866434.

434668096018008 is a `hidden beast` number, since 4 + 3 + 466 + 8 + 0 + 96 + 0 + 1 + 80 + 0 + 8 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1350860310 + ... + 1351182042.

Almost surely, 2^{434668096018008} 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 434668096018008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613270239800400).

434668096018008 is an abundant number, since it is smaller than the sum of its proper divisors (791872383582792).

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

434668096018008 is a wasteful number, since it uses less digits than its factorization.

434668096018008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329602 (or 329595 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 434668096018008 in words is "four hundred thirty-four trillion, six hundred sixty-eight billion, ninety-six million, eighteen thousand, eight".