46682112 has 104 divisors (see below), whose sum is σ = 129745440. Its totient is φ = 14909440.

The previous prime is 46682089. The next prime is 46682117. The reversal of 46682112 is 21128664.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46682112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46682117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356287 + ... + 356417.

Almost surely, 2^46682112 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 46682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64872720).

46682112 is an abundant number, since it is smaller than the sum of its proper divisors (83063328).

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

46682112 is a wasteful number, since it uses less digits than its factorization.

46682112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 46682112 is about 6832.4308997603. The cubic root of 46682112 is about 360.0671479685.

The spelling of 46682112 in words is "forty-six million, six hundred eighty-two thousand, one hundred twelve".