242066639664096 has 96 divisors (see below), whose sum is σ = 724556932813728. Its totient is φ = 70100746321920.

The previous prime is 242066639664067. The next prime is 242066639664119. The reversal of 242066639664096 is 690466936660242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×242066639664096² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 242066639664096.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5704792125 + ... + 5704834556.

It is an arithmetic number, because the mean of its divisors is an integer number (7547468050143).

Almost surely, 2^{242066639664096} is an apocalyptic number.

242066639664096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

242066639664096 is an abundant number, since it is smaller than the sum of its proper divisors (482490293149632).

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

242066639664096 is a wasteful number, since it uses less digits than its factorization.

242066639664096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11409626724 (or 11409626716 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 69.

The spelling of 242066639664096 in words is "two hundred forty-two trillion, sixty-six billion, six hundred thirty-nine million, six hundred sixty-four thousand, ninety-six".