73113996816 has 675 divisors, whose sum is σ = 262019837079. Its totient is φ = 19624260096.

The previous prime is 73113996773. The next prime is 73113996827. The reversal of 73113996816 is 61869931137.

It is a happy number.

The square root of 73113996816 is 270396.

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 15560067600 + 57553929216 = 124740^2 + 239904^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1976053950 + ... + 1976053986.

Almost surely, 2^73113996816 is an apocalyptic number.

73113996816 is the 270396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73113996816

73113996816 is an abundant number, since it is smaller than the sum of its proper divisors (188905840263).

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

73113996816 is a wasteful number, since it uses less digits than its factorization.

73113996816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 78 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 73113996816 in words is "seventy-three billion, one hundred thirteen million, nine hundred ninety-six thousand, eight hundred sixteen".