242125548596736 has 960 divisors, whose sum is σ = 818457301094400. Its totient is φ = 63202042036224.

The previous prime is 242125548596699. The next prime is 242125548596753. The reversal of 242125548596736 is 637695845521242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4857739431 + ... + 4857789273.

It is an arithmetic number, because the mean of its divisors is an integer number (852559688640).

Almost surely, 2^{242125548596736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242125548596736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409228650547200).

242125548596736 is an abundant number, since it is smaller than the sum of its proper divisors (576331752497664).

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

242125548596736 is a wasteful number, since it uses less digits than its factorization.

242125548596736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50019 (or 49996 counting only the distinct ones).

The product of its digits is 870912000, while the sum is 69.

The spelling of 242125548596736 in words is "two hundred forty-two trillion, one hundred twenty-five billion, five hundred forty-eight million, five hundred ninety-six thousand, seven hundred thirty-six".