46638648 has 192 divisors, whose sum is σ = 154365120. Its totient is φ = 12441600.

The previous prime is 46638623. The next prime is 46638649. The reversal of 46638648 is 84683664.

46638648 is a `hidden beast` number, since 4 + 6 + 638 + 6 + 4 + 8 = 666.

46638648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (46638649) 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 47 ways as a sum of consecutive naturals, for example, 764538 + ... + 764598.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 2^46638648 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 46638648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77182560).

46638648 is an abundant number, since it is smaller than the sum of its proper divisors (107726472).

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

46638648 is a wasteful number, since it uses less digits than its factorization.

46638648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 46638648 is about 6829.2494463155. The cubic root of 46638648 is about 359.9553648364.

The spelling of 46638648 in words is "forty-six million, six hundred thirty-eight thousand, six hundred forty-eight".