83729233292738 has 32 divisors (see below), whose sum is σ = 139113882673920. Its totient is φ = 37477726857360.

The previous prime is 83729233292737. The next prime is 83729233292759.

It is a happy number.

83729233292738 is nontrivially palindromic in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83729233292737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74120048 + ... + 75241211.

It is an arithmetic number, because the mean of its divisors is an integer number (4347308833560).

Almost surely, 2^{83729233292738} is an apocalyptic number.

83729233292738 is a deficient number, since it is larger than the sum of its proper divisors (55384649381182).

83729233292738 is a wasteful number, since it uses less digits than its factorization.

83729233292738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149361662.

The product of its digits is 329204736, while the sum is 68.

The spelling of 83729233292738 in words is "eighty-three trillion, seven hundred twenty-nine billion, two hundred thirty-three million, two hundred ninety-two thousand, seven hundred thirty-eight".