242281823856501 has 192 divisors, whose sum is σ = 400383268572672. Its totient is φ = 129206719488000.

The previous prime is 242281823856493. The next prime is 242281823856529. The reversal of 242281823856501 is 105658328182242.

It is not a de Polignac number, because 242281823856501 - 2³ = 242281823856493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242281823856101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47683883281 + ... + 47683888361.

It is an arithmetic number, because the mean of its divisors is an integer number (2085329523816).

Almost surely, 2^{242281823856501} is an apocalyptic number.

It is an amenable number.

242281823856501 is a deficient number, since it is larger than the sum of its proper divisors (158101444716171).

242281823856501 is a wasteful number, since it uses less digits than its factorization.

242281823856501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6556 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 57.

The spelling of 242281823856501 in words is "two hundred forty-two trillion, two hundred eighty-one billion, eight hundred twenty-three million, eight hundred fifty-six thousand, five hundred one".