242336907599904 has 216 divisors, whose sum is σ = 746255823030900. Its totient is φ = 74563078127616.

The previous prime is 242336907599723. The next prime is 242336907599939. The reversal of 242336907599904 is 409995709633242.

242336907599904 is a `hidden beast` number, since 2 + 4 + 23 + 3 + 6 + 9 + 0 + 7 + 599 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 71779053951504 + 170557853648400 = 8472252^2 + 13059780^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3104893872 + ... + 3104971920.

Almost surely, 2^{242336907599904} is an apocalyptic number.

242336907599904 is a gapful number since it is divisible by the number (24) 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 242336907599904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373127911515450).

242336907599904 is an abundant number, since it is smaller than the sum of its proper divisors (503918915430996).

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

242336907599904 is a wasteful number, since it uses less digits than its factorization.

242336907599904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141884 (or 141860 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 72.

The spelling of 242336907599904 in words is "two hundred forty-two trillion, three hundred thirty-six billion, nine hundred seven million, five hundred ninety-nine thousand, nine hundred four".