434687917303808 has 768 divisors, whose sum is σ = 1066065960960000. Its totient is φ = 176904599961600.

The previous prime is 434687917303747. The next prime is 434687917303811. The reversal of 434687917303808 is 808303719786434.

It is a Harshad number since it is a multiple of its sum of digits (71).

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 63 ways as a sum of consecutive naturals, for example, 406630417898 + ... + 406630418966.

It is an arithmetic number, because the mean of its divisors is an integer number (1388106720000).

Almost surely, 2^{434687917303808} 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 434687917303808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533032980480000).

434687917303808 is an abundant number, since it is smaller than the sum of its proper divisors (631378043656192).

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

434687917303808 is a wasteful number, since it uses less digits than its factorization.

434687917303808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 71.

The spelling of 434687917303808 in words is "four hundred thirty-four trillion, six hundred eighty-seven billion, nine hundred seventeen million, three hundred three thousand, eight hundred eight".