73105863245328 has 320 divisors, whose sum is σ = 212651049461760. Its totient is φ = 21505273749504.

The previous prime is 73105863245299. The next prime is 73105863245369. The reversal of 73105863245328 is 82354236850137.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 63 ways as a sum of consecutive naturals, for example, 3150695775 + ... + 3150718977.

It is an arithmetic number, because the mean of its divisors is an integer number (664534529568).

Almost surely, 2^{73105863245328} 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 73105863245328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106325524730880).

73105863245328 is an abundant number, since it is smaller than the sum of its proper divisors (139545186216432).

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

73105863245328 is a wasteful number, since it uses less digits than its factorization.

73105863245328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25326 (or 25320 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 73105863245328 in words is "seventy-three trillion, one hundred five billion, eight hundred sixty-three million, two hundred forty-five thousand, three hundred twenty-eight".