146748940800 has 960 divisors, whose sum is σ = 624282329088. Its totient is φ = 29491200000.

The previous prime is 146748940733. The next prime is 146748940843. The reversal of 146748940800 is 8049847641.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 91660000 + ... + 91661600.

Almost surely, 2^146748940800 is an apocalyptic number.

146748940800 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 146748940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312141164544).

146748940800 is an abundant number, since it is smaller than the sum of its proper divisors (477533388288).

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

146748940800 is a wasteful number, since it uses less digits than its factorization.

146748940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 146748940800 in words is "one hundred forty-six billion, seven hundred forty-eight million, nine hundred forty thousand, eight hundred".