73438083437 has 16 divisors (see below), whose sum is σ = 78666908400. Its totient is φ = 68312678400.

The previous prime is 73438083431. The next prime is 73438083449.

73438083437 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 7570914121 + 65867169316 = 87011^2 + 256646^2 .

It is a cyclic number.

It is not a de Polignac number, because 73438083437 - 2⁴ = 73438083421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73438083431) 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, 939389 + ... + 1014557.

It is an arithmetic number, because the mean of its divisors is an integer number (4916681775).

Almost surely, 2^73438083437 is an apocalyptic number.

It is an amenable number.

73438083437 is a deficient number, since it is larger than the sum of its proper divisors (5228824963).

73438083437 is a wasteful number, since it uses less digits than its factorization.

73438083437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75856.

The product of its (nonzero) digits is 4064256, while the sum is 50.

The spelling of 73438083437 in words is "seventy-three billion, four hundred thirty-eight million, eighty-three thousand, four hundred thirty-seven".