73086811434 has 320 divisors, whose sum is σ = 224665056000. Its totient is φ = 17185830912.

The previous prime is 73086811423. The next prime is 73086811459. The reversal of 73086811434 is 43411868037.

It is a self number, because there is not a number n which added to its sum of digits gives 73086811434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4753992 + ... + 4769340.

It is an arithmetic number, because the mean of its divisors is an integer number (702078300).

Almost surely, 2^73086811434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73086811434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112332528000).

73086811434 is an abundant number, since it is smaller than the sum of its proper divisors (151578244566).

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

73086811434 is a wasteful number, since it uses less digits than its factorization.

73086811434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15419 (or 15410 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 73086811434 in words is "seventy-three billion, eighty-six million, eight hundred eleven thousand, four hundred thirty-four".