242167773280384 has 192 divisors, whose sum is σ = 566650522690560. Its totient is φ = 100975148679168.

The previous prime is 242167773280331. The next prime is 242167773280483. The reversal of 242167773280384 is 483082377761242.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302140449 + ... + 302940895.

It is an arithmetic number, because the mean of its divisors is an integer number (2951304805680).

Almost surely, 2^{242167773280384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242167773280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283325261345280).

242167773280384 is an abundant number, since it is smaller than the sum of its proper divisors (324482749410176).

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

242167773280384 is an frugal number, since it uses more digits than its factorization.

242167773280384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800683 (or 800612 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 64.

The spelling of 242167773280384 in words is "two hundred forty-two trillion, one hundred sixty-seven billion, seven hundred seventy-three million, two hundred eighty thousand, three hundred eighty-four".