73358220006309 has 96 divisors (see below), whose sum is σ = 119213077363200. Its totient is φ = 39954603386880.

The previous prime is 73358220006307. The next prime is 73358220006341. The reversal of 73358220006309 is 90360002285337.

It is not a de Polignac number, because 73358220006309 - 2¹ = 73358220006307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73358220006301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2612365149 + ... + 2612393229.

It is an arithmetic number, because the mean of its divisors is an integer number (1241802889200).

Almost surely, 2^{73358220006309} is an apocalyptic number.

73358220006309 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

It is an amenable number.

73358220006309 is a deficient number, since it is larger than the sum of its proper divisors (45854857356891).

73358220006309 is a wasteful number, since it uses less digits than its factorization.

73358220006309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35963 (or 35956 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 73358220006309 in words is "seventy-three trillion, three hundred fifty-eight billion, two hundred twenty million, six thousand, three hundred nine".