46386144 has 216 divisors, whose sum is σ = 162456840. Its totient is φ = 12483072.

The previous prime is 46386103. The next prime is 46386173. The reversal of 46386144 is 44168364.

46386144 is a `hidden beast` number, since 4 + 6 + 38 + 614 + 4 = 666.

46386144 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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46386099 and 46386108.

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 35 ways as a sum of consecutive naturals, for example, 268042 + ... + 268214.

It is an arithmetic number, because the mean of its divisors is an integer number (752115).

Almost surely, 2^46386144 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 46386144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81228420).

46386144 is an abundant number, since it is smaller than the sum of its proper divisors (116070696).

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

46386144 is a wasteful number, since it uses less digits than its factorization.

46386144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 46386144 is about 6810.7374050098. The cubic root of 46386144 is about 359.3045834460.

The spelling of 46386144 in words is "forty-six million, three hundred eighty-six thousand, one hundred forty-four".