46083168 has 120 divisors (see below), whose sum is σ = 141604848. Its totient is φ = 14674176.

The previous prime is 46083131. The next prime is 46083179. The reversal of 46083168 is 86138064.

It is a happy number.

46083168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 59230 + ... + 60002.

Almost surely, 2^46083168 is an apocalyptic number.

46083168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46083168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70802424).

46083168 is an abundant number, since it is smaller than the sum of its proper divisors (95521680).

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

46083168 is a wasteful number, since it uses less digits than its factorization.

46083168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 801 counting only the distinct ones).

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

The square root of 46083168 is about 6788.4584406182. The cubic root of 46083168 is about 358.5205954450.

It can be divided in two parts, 4608 and 3168, that added together give a 5-th power (7776 = 6⁵).

The spelling of 46083168 in words is "forty-six million, eighty-three thousand, one hundred sixty-eight".