46638563328 has 264 divisors, whose sum is σ = 154417459248. Its totient is φ = 13287555072.

The previous prime is 46638563327. The next prime is 46638563333. The reversal of 46638563328 is 82336583664.

46638563328 is a `hidden beast` number, since 46 + 6 + 3 + 8 + 563 + 32 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46638563327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132120400 + ... + 132120752.

Almost surely, 2^46638563328 is an apocalyptic number.

46638563328 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 46638563328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77208729624).

46638563328 is an abundant number, since it is smaller than the sum of its proper divisors (107778895920).

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

46638563328 is an frugal number, since it uses more digits than its factorization.

46638563328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 365 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 46638563328 in words is "forty-six billion, six hundred thirty-eight million, five hundred sixty-three thousand, three hundred twenty-eight".