242325121171584 has 128 divisors (see below), whose sum is σ = 721170278153280. Its totient is φ = 71447210127360.

The previous prime is 242325121171577. The next prime is 242325121171619. The reversal of 242325121171584 is 485171121523242.

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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775095559 + ... + 775408134.

Almost surely, 2^{242325121171584} is an apocalyptic number.

242325121171584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242325121171584 is an abundant number, since it is smaller than the sum of its proper divisors (478845156981696).

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

242325121171584 is a wasteful number, since it uses less digits than its factorization.

242325121171584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550503758 (or 1550503746 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The spelling of 242325121171584 in words is "two hundred forty-two trillion, three hundred twenty-five billion, one hundred twenty-one million, one hundred seventy-one thousand, five hundred eighty-four".