46486340580800 has 168 divisors, whose sum is σ = 121163435467920. Its totient is φ = 17493597798400.

The previous prime is 46486340580791. The next prime is 46486340580811. The reversal of 46486340580800 is 808504368464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66537290 + ... + 67232310.

Almost surely, 2^{46486340580800} is an apocalyptic number.

46486340580800 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 46486340580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60581717733960).

46486340580800 is an abundant number, since it is smaller than the sum of its proper divisors (74677094887120).

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

46486340580800 is a wasteful number, since it uses less digits than its factorization.

46486340580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697519 (or 697504 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 56.

The spelling of 46486340580800 in words is "forty-six trillion, four hundred eighty-six billion, three hundred forty million, five hundred eighty thousand, eight hundred".