616711117616 has 120 divisors (see below), whose sum is σ = 1346426604432. Its totient is φ = 273279846400.

The previous prime is 616711117577. The next prime is 616711117643.

616711117616 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160893236 + ... + 160897068.

Almost surely, 2^616711117616 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 616711117616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673213302216).

616711117616 is an abundant number, since it is smaller than the sum of its proper divisors (729715486816).

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

616711117616 is a wasteful number, since it uses less digits than its factorization.

616711117616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931 (or 5914 counting only the distinct ones).

The product of its digits is 63504, while the sum is 44.

The spelling of 616711117616 in words is "six hundred sixteen billion, seven hundred eleven million, one hundred seventeen thousand, six hundred sixteen".