242545230152320 has 128 divisors (see below), whose sum is σ = 580808422097280. Its totient is φ = 96855211315200.

The previous prime is 242545230152317. The next prime is 242545230152321. The reversal of 242545230152320 is 23251032545242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (242545230152321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3097165965 + ... + 3097244275.

It is an arithmetic number, because the mean of its divisors is an integer number (4537565797635).

Almost surely, 2^{242545230152320} is an apocalyptic number.

242545230152320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242545230152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290404211048640).

242545230152320 is an abundant number, since it is smaller than the sum of its proper divisors (338263191944960).

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

242545230152320 is an equidigital number, since it uses as much as digits as its factorization.

242545230152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86394 (or 86382 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 242545230152320 its reverse (23251032545242), we get a palindrome (265796262697562).

The spelling of 242545230152320 in words is "two hundred forty-two trillion, five hundred forty-five billion, two hundred thirty million, one hundred fifty-two thousand, three hundred twenty".