46116864 has 130 divisors (see below), whose sum is σ = 138755540. Its totient is φ = 15261696.

The previous prime is 46116839. The next prime is 46116887. The reversal of 46116864 is 46861164.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (27648) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331707 + ... + 331845.

Almost surely, 2^46116864 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 46116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69377770).

46116864 is an abundant number, since it is smaller than the sum of its proper divisors (92638676).

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

46116864 is an equidigital number, since it uses as much as digits as its factorization.

46116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 46116864 is about 6790.9398465897. The cubic root of 46116864 is about 358.6079575429.

The spelling of 46116864 in words is "forty-six million, one hundred sixteen thousand, eight hundred sixty-four".