73300238064144 has 480 divisors, whose sum is σ = 258547601894400. Its totient is φ = 18872736030720.

The previous prime is 73300238064121. The next prime is 73300238064173. The reversal of 73300238064144 is 44146083200337.

73300238064144 is a `hidden beast` number, since 7 + 330 + 0 + 238 + 0 + 6 + 41 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 73300238064144.

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 95 ways as a sum of consecutive naturals, for example, 91736434 + ... + 92532014.

It is an arithmetic number, because the mean of its divisors is an integer number (538640837280).

Almost surely, 2^{73300238064144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73300238064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129273800947200).

73300238064144 is an abundant number, since it is smaller than the sum of its proper divisors (185247363830256).

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

73300238064144 is a wasteful number, since it uses less digits than its factorization.

73300238064144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795783 (or 795774 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 73300238064144 in words is "seventy-three trillion, three hundred billion, two hundred thirty-eight million, sixty-four thousand, one hundred forty-four".