146664880044320 has 768 divisors, whose sum is σ = 422949703680000. Its totient is φ = 47434014720000.

The previous prime is 146664880044299. The next prime is 146664880044437. The reversal of 146664880044320 is 23440088466641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8263266806 + ... + 8263284554.

It is an arithmetic number, because the mean of its divisors is an integer number (550715760000).

Almost surely, 2^{146664880044320} is an apocalyptic number.

146664880044320 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 146664880044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211474851840000).

146664880044320 is an abundant number, since it is smaller than the sum of its proper divisors (276284823635680).

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

146664880044320 is a wasteful number, since it uses less digits than its factorization.

146664880044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18033 (or 18025 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 56.

The spelling of 146664880044320 in words is "one hundred forty-six trillion, six hundred sixty-four billion, eight hundred eighty million, forty-four thousand, three hundred twenty".