73051713212544 has 1536 divisors, whose sum is σ = 255003420672000. Its totient is φ = 20598810624000.

The previous prime is 73051713212501. The next prime is 73051713212623. The reversal of 73051713212544 is 44521231715037.

73051713212544 is a `hidden beast` number, since 7 + 3 + 0 + 5 + 1 + 71 + 32 + 1 + 2 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 73051713212544.

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 191 ways as a sum of consecutive naturals, for example, 135030892914 + ... + 135030893454.

It is an arithmetic number, because the mean of its divisors is an integer number (166017852000).

Almost surely, 2^{73051713212544} 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 73051713212544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127501710336000).

73051713212544 is an abundant number, since it is smaller than the sum of its proper divisors (181951707459456).

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

73051713212544 is a wasteful number, since it uses less digits than its factorization.

73051713212544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 73051713212544 in words is "seventy-three trillion, fifty-one billion, seven hundred thirteen million, two hundred twelve thousand, five hundred forty-four".