614311113416 has 512 divisors, whose sum is σ = 1730792448000. Its totient is φ = 196179148800.

The previous prime is 614311113313. The next prime is 614311113419.

614311113416 is nontrivially palindromic in base 10.

614311113416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (614311113419) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1135510106 + ... + 1135510646.

It is an arithmetic number, because the mean of its divisors is an integer number (3380454000).

Almost surely, 2^614311113416 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 614311113416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865396224000).

614311113416 is an abundant number, since it is smaller than the sum of its proper divisors (1116481334584).

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

614311113416 is a wasteful number, since it uses less digits than its factorization.

614311113416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1049 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

It can be divided in two parts, 614311 and 113416, that added together give a palindrome (727727).

The spelling of 614311113416 in words is "six hundred fourteen billion, three hundred eleven million, one hundred thirteen thousand, four hundred sixteen".