242776064323104 has 48 divisors (see below), whose sum is σ = 686309258763072. Its totient is φ = 74700327483648.

The previous prime is 242776064323097. The next prime is 242776064323109. The reversal of 242776064323104 is 401323460677242.

242776064323104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (242776064323109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97266050164 + ... + 97266052659.

It is an arithmetic number, because the mean of its divisors is an integer number (14298109557564).

Almost surely, 2^{242776064323104} is an apocalyptic number.

242776064323104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242776064323104 is an abundant number, since it is smaller than the sum of its proper divisors (443533194439968).

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

242776064323104 is a wasteful number, since it uses less digits than its factorization.

242776064323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194532102849 (or 194532102841 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 51.

The spelling of 242776064323104 in words is "two hundred forty-two trillion, seven hundred seventy-six billion, sixty-four million, three hundred twenty-three thousand, one hundred four".