146538666801680 has 80 divisors (see below), whose sum is σ = 352455414177600. Its totient is φ = 56593496225280.

The previous prime is 146538666801679. The next prime is 146538666801697. The reversal of 146538666801680 is 86108666835641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 146538666801680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194994491 + ... + 195744549.

It is an arithmetic number, because the mean of its divisors is an integer number (4405692677220).

Almost surely, 2^{146538666801680} is an apocalyptic number.

146538666801680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146538666801680 is an abundant number, since it is smaller than the sum of its proper divisors (205916747375920).

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

146538666801680 is a wasteful number, since it uses less digits than its factorization.

146538666801680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834312 (or 834306 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 68.

The spelling of 146538666801680 in words is "one hundred forty-six trillion, five hundred thirty-eight billion, six hundred sixty-six million, eight hundred one thousand, six hundred eighty".