617934439716 has 144 divisors (see below), whose sum is σ = 1616897104704. Its totient is φ = 183474720000.

The previous prime is 617934439709. The next prime is 617934439739.

617934439716 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 617934439716.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62406366 + ... + 62416266.

It is an arithmetic number, because the mean of its divisors is an integer number (11228452116).

Almost surely, 2^617934439716 is an apocalyptic number.

617934439716 is a gapful number since it is divisible by the number (66) 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 617934439716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808448552352).

617934439716 is an abundant number, since it is smaller than the sum of its proper divisors (998962664988).

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

617934439716 is a wasteful number, since it uses less digits than its factorization.

617934439716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10794 (or 10781 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 60.

The spelling of 617934439716 in words is "six hundred seventeen billion, nine hundred thirty-four million, four hundred thirty-nine thousand, seven hundred sixteen".