242850581568 has 560 divisors, whose sum is σ = 863895859200. Its totient is φ = 65991490560.

The previous prime is 242850581563. The next prime is 242850581569. The reversal of 242850581568 is 865185058242.

242850581568 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 5 + 0 + 581 + 56 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (242850581563) 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, 66368923 + ... + 66372581.

Almost surely, 2^242850581568 is an apocalyptic number.

242850581568 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 242850581568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431947929600).

242850581568 is an abundant number, since it is smaller than the sum of its proper divisors (621045277632).

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

242850581568 is a wasteful number, since it uses less digits than its factorization.

242850581568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 242850581568 in words is "two hundred forty-two billion, eight hundred fifty million, five hundred eighty-one thousand, five hundred sixty-eight".