46530417320000 has 280 divisors, whose sum is σ = 116257320748800. Its totient is φ = 18470920960000.

The previous prime is 46530417319901. The next prime is 46530417320029. The reversal of 46530417320000 is 2371403564.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8504917265 + ... + 8504922735.

It is an arithmetic number, because the mean of its divisors is an integer number (415204716960).

Almost surely, 2^{46530417320000} is an apocalyptic number.

46530417320000 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 46530417320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58128660374400).

46530417320000 is an abundant number, since it is smaller than the sum of its proper divisors (69726903428800).

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

46530417320000 is a wasteful number, since it uses less digits than its factorization.

46530417320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079 (or 7054 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

Adding to 46530417320000 its reverse (2371403564), we get a palindrome (46532788723564).

The spelling of 46530417320000 in words is "forty-six trillion, five hundred thirty billion, four hundred seventeen million, three hundred twenty thousand".