46441985184 has 216 divisors, whose sum is σ = 154016366868. Its totient is φ = 13235927040.

The previous prime is 46441985173. The next prime is 46441985189. The reversal of 46441985184 is 48158914464.

46441985184 is a `hidden beast` number, since 46 + 4 + 419 + 8 + 5 + 184 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25930016784 + 20511968400 = 161028^2 + 143220^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46441985184.

It is not an unprimeable number, because it can be changed into a prime (46441985189) 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 35 ways as a sum of consecutive naturals, for example, 5937244 + ... + 5945060.

Almost surely, 2^46441985184 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 46441985184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77008183434).

46441985184 is an abundant number, since it is smaller than the sum of its proper divisors (107574381684).

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

46441985184 is a wasteful number, since it uses less digits than its factorization.

46441985184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 8250 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 46441985184 in words is "forty-six billion, four hundred forty-one million, nine hundred eighty-five thousand, one hundred eighty-four".