46438023168 has 228 divisors, whose sum is σ = 139313541640. Its totient is φ = 15479341056.

The previous prime is 46438023131. The next prime is 46438023199. The reversal of 46438023168 is 86132083464.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)³ ⋅ (3!)⁸ ⋅ 2!.

46438023168 is a `hidden beast` number, since 464 + 3 + 8 + 0 + 23 + 168 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=9, B=12.

It is a nialpdrome in base 6 and base 12.

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 11 ways as a sum of consecutive naturals, for example, 15479341055 + 15479341056 + 15479341057.

Almost surely, 2^46438023168 is an apocalyptic number.

46438023168 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 46438023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69656770820).

46438023168 is an abundant number, since it is smaller than the sum of its proper divisors (92875518472).

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

46438023168 is an frugal number, since it uses more digits than its factorization.

46438023168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 5 counting only the distinct ones).

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

The spelling of 46438023168 in words is "forty-six billion, four hundred thirty-eight million, twenty-three thousand, one hundred sixty-eight".