242851908348 has 240 divisors, whose sum is σ = 732116335104. Its totient is φ = 68761768320.

The previous prime is 242851908319. The next prime is 242851908349. The reversal of 242851908348 is 843809158242.

242851908348 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 519 + 0 + 83 + 48 = 666.

242851908348 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 242851908294 and 242851908303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242851908349) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 159455515 + ... + 159457037.

Almost surely, 2^242851908348 is an apocalyptic number.

242851908348 is a gapful number since it is divisible by the number (28) 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 242851908348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366058167552).

242851908348 is an abundant number, since it is smaller than the sum of its proper divisors (489264426756).

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

242851908348 is a wasteful number, since it uses less digits than its factorization.

242851908348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 242851908348 in words is "two hundred forty-two billion, eight hundred fifty-one million, nine hundred eight thousand, three hundred forty-eight".