46849831600 has 480 divisors, whose sum is σ = 139491072000. Its totient is φ = 14878617600.

The previous prime is 46849831591. The next prime is 46849831627. The reversal of 46849831600 is 613894864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196024281 + ... + 196024519.

It is an arithmetic number, because the mean of its divisors is an integer number (290606400).

Almost surely, 2^46849831600 is an apocalyptic number.

46849831600 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 46849831600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69745536000).

46849831600 is an abundant number, since it is smaller than the sum of its proper divisors (92641240400).

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

46849831600 is a wasteful number, since it uses less digits than its factorization.

46849831600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 46849831600 in words is "forty-six billion, eight hundred forty-nine million, eight hundred thirty-one thousand, six hundred".