146668322448000 has 768 divisors, whose sum is σ = 572330504678400. Its totient is φ = 35857769472000.

The previous prime is 146668322447993. The next prime is 146668322448071. The reversal of 146668322448000 is 844223866641.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83951374 + ... + 85680626.

It is an arithmetic number, because the mean of its divisors is an integer number (745222011300).

Almost surely, 2^{146668322448000} is an apocalyptic number.

146668322448000 is a gapful number since it is divisible by the number (10) 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 146668322448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286165252339200).

146668322448000 is an abundant number, since it is smaller than the sum of its proper divisors (425662182230400).

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

146668322448000 is a wasteful number, since it uses less digits than its factorization.

146668322448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729338 (or 1729313 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 146668322448000 in words is "one hundred forty-six trillion, six hundred sixty-eight billion, three hundred twenty-two million, four hundred forty-eight thousand".