4611106416 has 80 divisors (see below), whose sum is σ = 13649126400. Its totient is φ = 1314034944.

The previous prime is 4611106397. The next prime is 4611106441. The reversal of 4611106416 is 6146011164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113065 + ... + 148343.

It is an arithmetic number, because the mean of its divisors is an integer number (170614080).

Almost surely, 2^4611106416 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 4611106416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824563200).

4611106416 is an abundant number, since it is smaller than the sum of its proper divisors (9038019984).

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

4611106416 is a wasteful number, since it uses less digits than its factorization.

4611106416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35686 (or 35680 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4611106416 is about 67905.1280537781. The cubic root of 4611106416 is about 1664.4409099585.

The spelling of 4611106416 in words is "four billion, six hundred eleven million, one hundred six thousand, four hundred sixteen".