688234349093 has 16 divisors (see below), whose sum is σ = 706026280176. Its totient is φ = 670657827840.

The previous prime is 688234349069. The next prime is 688234349107. The reversal of 688234349093 is 390943432886.

It can be written as a sum of positive squares in 8 ways, for example, as 108173894404 + 580060454689 = 328898^2 + 761617^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-688234349093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688234349893) 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 15 ways as a sum of consecutive naturals, for example, 16059971 + ... + 16102767.

It is an arithmetic number, because the mean of its divisors is an integer number (44126642511).

Almost surely, 2^688234349093 is an apocalyptic number.

It is an amenable number.

688234349093 is a deficient number, since it is larger than the sum of its proper divisors (17791931083).

688234349093 is a wasteful number, since it uses less digits than its factorization.

688234349093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45304.

The product of its (nonzero) digits is 26873856, while the sum is 59.

The spelling of 688234349093 in words is "six hundred eighty-eight billion, two hundred thirty-four million, three hundred forty-nine thousand, ninety-three".