242120513335664 has 60 divisors (see below), whose sum is σ = 498805955700000. Its totient is φ = 113829400602624.

The previous prime is 242120513335637. The next prime is 242120513335693. The reversal of 242120513335664 is 466533315021242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20393789 + ... + 30002460.

It is an arithmetic number, because the mean of its divisors is an integer number (8313432595000).

Almost surely, 2^{242120513335664} is an apocalyptic number.

It is an amenable number.

242120513335664 is an abundant number, since it is smaller than the sum of its proper divisors (256685442364336).

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

242120513335664 is a wasteful number, since it uses less digits than its factorization.

242120513335664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50397330 (or 50397307 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 47.

The spelling of 242120513335664 in words is "two hundred forty-two trillion, one hundred twenty billion, five hundred thirteen million, three hundred thirty-five thousand, six hundred sixty-four".