242064220064 has 12 divisors (see below), whose sum is σ = 476563933314. Its totient is φ = 121032110016.

The previous prime is 242064220043. The next prime is 242064220093. The reversal of 242064220064 is 460022460242.

242064220064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 216429648400 + 25634571664 = 465220^2 + 160108^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 7564506877 = 242064220064 / (2 + 4 + 2 + 0 + 6 + 4 + 2 + 2 + 0 + 0 + 6 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 242064220064.

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 as a sum of consecutive naturals, namely, 3782253407 + ... + 3782253470.

Almost surely, 2^242064220064 is an apocalyptic number.

It is an amenable number.

242064220064 is a deficient number, since it is larger than the sum of its proper divisors (234499713250).

242064220064 is an equidigital number, since it uses as much as digits as its factorization.

242064220064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564506887 (or 7564506879 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 242064220064 in words is "two hundred forty-two billion, sixty-four million, two hundred twenty thousand, sixty-four".