46166112 has 84 divisors (see below), whose sum is σ = 136340820. Its totient is φ = 15380928.

The previous prime is 46166111. The next prime is 46166119. The reversal of 46166112 is 21166164.

46166112 is a `hidden beast` number, since 46 + 1 + 6 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46166111) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22339 + ... + 24317.

It is an arithmetic number, because the mean of its divisors is an integer number (1623105).

Almost surely, 2^46166112 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 46166112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68170410).

46166112 is an abundant number, since it is smaller than the sum of its proper divisors (90174708).

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

46166112 is an equidigital number, since it uses as much as digits as its factorization.

46166112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1984 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 46166112 is about 6794.5648867312. The cubic root of 46166112 is about 358.7355640935.

The spelling of 46166112 in words is "forty-six million, one hundred sixty-six thousand, one hundred twelve".