242029714275696 has 80 divisors (see below), whose sum is σ = 628443402048000. Its totient is φ = 80264720937984.

The previous prime is 242029714275617. The next prime is 242029714275697. The reversal of 242029714275696 is 696572417920242.

It is a super-3 number, since 3×242029714275696³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242029714275697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9014121 + ... + 23776328.

It is an arithmetic number, because the mean of its divisors is an integer number (7855542525600).

Almost surely, 2^{242029714275696} is an apocalyptic number.

It is an amenable number.

242029714275696 is an abundant number, since it is smaller than the sum of its proper divisors (386413687772304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242029714275696 is a wasteful number, since it uses less digits than its factorization.

242029714275696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32791246 (or 32791240 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 242029714275696 in words is "two hundred forty-two trillion, twenty-nine billion, seven hundred fourteen million, two hundred seventy-five thousand, six hundred ninety-six".