73445313779712 has 1152 divisors, whose sum is σ = 258059217124800. Its totient is φ = 20575930023936.

The previous prime is 73445313779687. The next prime is 73445313779801. The reversal of 73445313779712 is 21797731354437.

It is a happy number.

73445313779712 is a `hidden beast` number, since 7 + 3 + 4 + 4 + 531 + 3 + 7 + 7 + 97 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 73445313779712.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 29698872108 + ... + 29698874580.

Almost surely, 2^{73445313779712} is an apocalyptic number.

73445313779712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73445313779712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129029608562400).

73445313779712 is an abundant number, since it is smaller than the sum of its proper divisors (184613903345088).

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

73445313779712 is a wasteful number, since it uses less digits than its factorization.

73445313779712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2695 counting only the distinct ones).

The product of its digits is 93350880, while the sum is 63.

The spelling of 73445313779712 in words is "seventy-three trillion, four hundred forty-five billion, three hundred thirteen million, seven hundred seventy-nine thousand, seven hundred twelve".