4326146648000 has 112 divisors (see below), whose sum is σ = 10758534134400. Its totient is φ = 1723217484800.

The previous prime is 4326146647997. The next prime is 4326146648003. The reversal of 4326146648000 is 8466416234.

It is an interprime number because it is at equal distance from previous prime (4326146647997) and next prime (4326146648003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4326146648003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780686 + ... + 3043314.

Almost surely, 2^{4326146648000} is an apocalyptic number.

4326146648000 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 4326146648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379267067200).

4326146648000 is an abundant number, since it is smaller than the sum of its proper divisors (6432387486400).

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

4326146648000 is a wasteful number, since it uses less digits than its factorization.

4326146648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262895 (or 2262875 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 4326146648000 in words is "four trillion, three hundred twenty-six billion, one hundred forty-six million, six hundred forty-eight thousand".