73338009003 has 24 divisors (see below), whose sum is σ = 121367871456. Its totient is φ = 41802912000.

The previous prime is 73338008951. The next prime is 73338009013. The reversal of 73338009003 is 30090083337.

It is a happy number.

It is not a de Polignac number, because 73338009003 - 2¹³ = 73338000811 is a prime.

It is a super-3 number, since 3×73338009003³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (73338009013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426228 + ... + 1476753.

It is an arithmetic number, because the mean of its divisors is an integer number (5056994644).

Almost surely, 2^73338009003 is an apocalyptic number.

73338009003 is a deficient number, since it is larger than the sum of its proper divisors (48029862453).

73338009003 is a wasteful number, since it uses less digits than its factorization.

73338009003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903395 (or 2903392 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 73338009003 in words is "seventy-three billion, three hundred thirty-eight million, nine thousand, three".