73073411316 has 36 divisors (see below), whose sum is σ = 191082773700. Its totient is φ = 23517879168.

The previous prime is 73073411311. The next prime is 73073411317. The reversal of 73073411316 is 61311437037.

73073411316 is a `hidden beast` number, since 7 + 307 + 34 + 1 + 1 + 316 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34439936400 + 38633474916 = 185580^2 + 196554^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73073411311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34995801 + ... + 34997888.

It is an arithmetic number, because the mean of its divisors is an integer number (5307854825).

Almost surely, 2^73073411316 is an apocalyptic number.

It is an amenable number.

73073411316 is an abundant number, since it is smaller than the sum of its proper divisors (118009362384).

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

73073411316 is a wasteful number, since it uses less digits than its factorization.

73073411316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69993728 (or 69993723 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 73073411316 in words is "seventy-three billion, seventy-three million, four hundred eleven thousand, three hundred sixteen".