46116 has 48 divisors (see below), whose sum is σ = 138880. Its totient is φ = 12960.

The previous prime is 46103. The next prime is 46133. The reversal of 46116 is 61164.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46116.

It is an unprimeable number.

46116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726 + ... + 786.

2⁴⁶¹¹⁶ 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 46116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69440).

46116 is an abundant number, since it is smaller than the sum of its proper divisors (92764).

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

46116 is a wasteful number, since it uses less digits than its factorization.

46116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 73 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 46116 is about 214.7463620181. The cubic root of 46116 is about 35.8605718021.

The spelling of 46116 in words is "forty-six thousand, one hundred sixteen".