73386068337 has 16 divisors (see below), whose sum is σ = 112227202560. Its totient is φ = 47345850000.

The previous prime is 73386068227. The next prime is 73386068339.

73386068337 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 73386068337 - 2¹⁹ = 73385544049 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (73386068339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43837914 + ... + 43839587.

It is an arithmetic number, because the mean of its divisors is an integer number (7014200160).

Almost surely, 2^73386068337 is an apocalyptic number.

It is an amenable number.

73386068337 is a deficient number, since it is larger than the sum of its proper divisors (38841134223).

73386068337 is a wasteful number, since it uses less digits than its factorization.

73386068337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87677541 (or 87677535 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 73386068337 in words is "seventy-three billion, three hundred eighty-six million, sixty-eight thousand, three hundred thirty-seven".