242907151968 has 240 divisors, whose sum is σ = 771208176816. Its totient is φ = 74558776320.

The previous prime is 242907151967. The next prime is 242907151979. The reversal of 242907151968 is 869151709242.

It is a happy number.

242907151968 is a `hidden beast` number, since 2 + 429 + 0 + 7 + 151 + 9 + 68 = 666.

242907151968 is digitally balanced in base 2, 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (242907151961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14177455 + ... + 14194577.

Almost surely, 2^242907151968 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 242907151968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385604088408).

242907151968 is an abundant number, since it is smaller than the sum of its proper divisors (528301024848).

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

242907151968 is a wasteful number, since it uses less digits than its factorization.

242907151968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17579 (or 17562 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 242907151968 in words is "two hundred forty-two billion, nine hundred seven million, one hundred fifty-one thousand, nine hundred sixty-eight".