434332485858876 has 48 divisors (see below), whose sum is σ = 1118893764256128. Its totient is φ = 130030171009600.

The previous prime is 434332485858779. The next prime is 434332485858893. The reversal of 434332485858876 is 678858584233434.

It is a super-3 number, since 3×434332485858876³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 19821661455 + ... + 19821683366.

It is an arithmetic number, because the mean of its divisors is an integer number (23310286755336).

Almost surely, 2^{434332485858876} is an apocalyptic number.

It is an amenable number.

434332485858876 is an abundant number, since it is smaller than the sum of its proper divisors (684561278397252).

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

434332485858876 is a wasteful number, since it uses less digits than its factorization.

434332485858876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39643344922 (or 39643344920 counting only the distinct ones).

The product of its digits is 14863564800, while the sum is 78.

The spelling of 434332485858876 in words is "four hundred thirty-four trillion, three hundred thirty-two billion, four hundred eighty-five million, eight hundred fifty-eight thousand, eight hundred seventy-six".