46549841600 has 84 divisors (see below), whose sum is σ = 114698794224. Its totient is φ = 18594401280.

The previous prime is 46549841581. The next prime is 46549841671. The reversal of 46549841600 is 614894564.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1169222 + ... + 1208378.

It is an arithmetic number, because the mean of its divisors is an integer number (1365461836).

Almost surely, 2^46549841600 is an apocalyptic number.

46549841600 is a gapful number since it is divisible by the number (40) 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 46549841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57349397112).

46549841600 is an abundant number, since it is smaller than the sum of its proper divisors (68148952624).

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

46549841600 is a wasteful number, since it uses less digits than its factorization.

46549841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39922 (or 39907 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 46549841600 in words is "forty-six billion, five hundred forty-nine million, eight hundred forty-one thousand, six hundred".