46325328000 has 256 divisors, whose sum is σ = 175508087040. Its totient is φ = 10588569600.

The previous prime is 46325327963. The next prime is 46325328013. The reversal of 46325328000 is 82352364.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 267064 + ... + 404936.

It is an arithmetic number, because the mean of its divisors is an integer number (685578465).

Almost surely, 2^46325328000 is an apocalyptic number.

46325328000 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 46325328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87754043520).

46325328000 is an abundant number, since it is smaller than the sum of its proper divisors (129182759040).

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

46325328000 is a wasteful number, since it uses less digits than its factorization.

46325328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137912 (or 137890 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 46325328000 in words is "forty-six billion, three hundred twenty-five million, three hundred twenty-eight thousand".