46526112 has 72 divisors (see below), whose sum is σ = 134181684. Its totient is φ = 15289344.

The previous prime is 46526111. The next prime is 46526141. The reversal of 46526112 is 21162564.

46526112 is a `hidden beast` number, since 4 + 652 + 6 + 1 + 1 + 2 = 666.

46526112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39992976 + 6533136 = 6324^2 + 2556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (46526111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19918 + ... + 22130.

Almost surely, 2^46526112 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 46526112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67090842).

46526112 is an abundant number, since it is smaller than the sum of its proper divisors (87655572).

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

46526112 is a wasteful number, since it uses less digits than its factorization.

46526112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2291 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 46526112 is about 6821.0052045135. The cubic root of 46526112 is about 359.6656154303.

Adding to 46526112 its reverse (21162564), we get a palindrome (67688676).

The spelling of 46526112 in words is "forty-six million, five hundred twenty-six thousand, one hundred twelve".