611439934116 has 288 divisors, whose sum is σ = 1751481809280. Its totient is φ = 164861706240.

The previous prime is 611439934087. The next prime is 611439934121.

611439934116 is nontrivially palindromic in base 10.

611439934116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 289369476 + ... + 289371588.

It is an arithmetic number, because the mean of its divisors is an integer number (6081534060).

Almost surely, 2^611439934116 is an apocalyptic number.

611439934116 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 611439934116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875740904640).

611439934116 is an abundant number, since it is smaller than the sum of its proper divisors (1140041875164).

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

611439934116 is a wasteful number, since it uses less digits than its factorization.

611439934116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2782 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The spelling of 611439934116 in words is "six hundred eleven billion, four hundred thirty-nine million, nine hundred thirty-four thousand, one hundred sixteen".