242256226423160 has 128 divisors (see below), whose sum is σ = 554212621670400. Its totient is φ = 95283662031360.

The previous prime is 242256226423151. The next prime is 242256226423217. The reversal of 242256226423160 is 61324622652242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3888324569 + ... + 3888386871.

It is an arithmetic number, because the mean of its divisors is an integer number (4329786106800).

Almost surely, 2^{242256226423160} is an apocalyptic number.

242256226423160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242256226423160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277106310835200).

242256226423160 is an abundant number, since it is smaller than the sum of its proper divisors (311956395247240).

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

242256226423160 is a wasteful number, since it uses less digits than its factorization.

242256226423160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64981 (or 64977 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 47.

The spelling of 242256226423160 in words is "two hundred forty-two trillion, two hundred fifty-six billion, two hundred twenty-six million, four hundred twenty-three thousand, one hundred sixty".