434464706973864 has 384 divisors, whose sum is σ = 1358368768696320. Its totient is φ = 115235526873600.

The previous prime is 434464706973839. The next prime is 434464706973877. The reversal of 434464706973864 is 468379607464434.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93501639 + ... + 98038185.

It is an arithmetic number, because the mean of its divisors is an integer number (3537418668480).

Almost surely, 2^{434464706973864} 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 434464706973864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679184384348160).

434464706973864 is an abundant number, since it is smaller than the sum of its proper divisors (923904061722456).

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

434464706973864 is a wasteful number, since it uses less digits than its factorization.

434464706973864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536709 (or 4536698 counting only the distinct ones).

The product of its (nonzero) digits is 7023034368, while the sum is 75.

The spelling of 434464706973864 in words is "four hundred thirty-four trillion, four hundred sixty-four billion, seven hundred six million, nine hundred seventy-three thousand, eight hundred sixty-four".