434543763268608 has 352 divisors, whose sum is σ = 1328264224819200. Its totient is φ = 123725868564480.

The previous prime is 434543763268597. The next prime is 434543763268691. The reversal of 434543763268608 is 806862367345434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7251914488 + ... + 7251974408.

Almost surely, 2^{434543763268608} is an apocalyptic number.

434543763268608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434543763268608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664132112409600).

434543763268608 is an abundant number, since it is smaller than the sum of its proper divisors (893720461550592).

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

434543763268608 is a wasteful number, since it uses less digits than its factorization.

434543763268608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61113 (or 61095 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 69.

The spelling of 434543763268608 in words is "four hundred thirty-four trillion, five hundred forty-three billion, seven hundred sixty-three million, two hundred sixty-eight thousand, six hundred eight".