242263264896 has 384 divisors, whose sum is σ = 760995855360. Its totient is φ = 73667543040.

The previous prime is 242263264891. The next prime is 242263264909. The reversal of 242263264896 is 698462362242.

It is a happy number.

242263264896 is a `hidden beast` number, since 2 + 4 + 226 + 326 + 4 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242263264891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265930681 + ... + 265931591.

It is an arithmetic number, because the mean of its divisors is an integer number (1981760040).

Almost surely, 2^242263264896 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 242263264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380497927680).

242263264896 is an abundant number, since it is smaller than the sum of its proper divisors (518732590464).

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

242263264896 is a wasteful number, since it uses less digits than its factorization.

242263264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1337 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 242263264896 in words is "two hundred forty-two billion, two hundred sixty-three million, two hundred sixty-four thousand, eight hundred ninety-six".