242348675272704 has 3861 divisors, whose sum is σ = 1006504838407089. Its totient is φ = 58105576488960.

The previous prime is 242348675272661. The next prime is 242348675272747. The reversal of 242348675272704 is 407272576843242.

The square root of 242348675272704 is 15567552.

It is a perfect power (a square), and thus also a powerful number.

242348675272704 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 4 + 86 + 7 + 527 + 27 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (242348675272661) and next prime (242348675272747).

It can be written as a sum of positive squares in only one way, i.e., 35850395750400 + 206498279522304 = 5987520^2 + 14370048^2 .

It is a tau number, because it is divible by the number of its divisors (3861).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 296 ways as a sum of consecutive naturals, for example, 18642205790202 + ... + 18642205790214.

Almost surely, 2^{242348675272704} is an apocalyptic number.

242348675272704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

242348675272704 is the 15567552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242348675272704

242348675272704 is an abundant number, since it is smaller than the sum of its proper divisors (764156163134385).

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

242348675272704 is an frugal number, since it uses more digits than its factorization.

242348675272704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 63.

The spelling of 242348675272704 in words is "two hundred forty-two trillion, three hundred forty-eight billion, six hundred seventy-five million, two hundred seventy-two thousand, seven hundred four".