73053123540544 has 567 divisors, whose sum is σ = 184991558838723. Its totient is φ = 28534499223552.

The previous prime is 73053123540491. The next prime is 73053123540611. The reversal of 73053123540544 is 44504532135037.

The square root of 73053123540544 is 8547112.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7800849000000 + 65252274540544 = 2793000^2 + 8077888^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73053123540494 and 73053123540503.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 263729687734 + ... + 263729688010.

Almost surely, 2^{73053123540544} is an apocalyptic number.

73053123540544 is the 8547112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73053123540544

73053123540544 is an abundant number, since it is smaller than the sum of its proper divisors (111938435298179).

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

73053123540544 is an equidigital number, since it uses as much as digits as its factorization.

73053123540544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 46.

The spelling of 73053123540544 in words is "seventy-three trillion, fifty-three billion, one hundred twenty-three million, five hundred forty thousand, five hundred forty-four".