242776546000224 has 48 divisors (see below), whose sum is σ = 640590445906992. Its totient is φ = 80506212139008.

The previous prime is 242776546000223. The next prime is 242776546000231. The reversal of 242776546000224 is 422000645677242.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242776546000223) 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, 6551593789 + ... + 6551630844.

It is an arithmetic number, because the mean of its divisors is an integer number (13345634289729).

Almost surely, 2^{242776546000224} is an apocalyptic number.

242776546000224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242776546000224 is an abundant number, since it is smaller than the sum of its proper divisors (397813899906768).

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

242776546000224 is a wasteful number, since it uses less digits than its factorization.

242776546000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13103224839 (or 13103224831 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 51.

The spelling of 242776546000224 in words is "two hundred forty-two trillion, seven hundred seventy-six billion, five hundred forty-six million, two hundred twenty-four", and thus it is an aban number.