242733625344 has 832 divisors, whose sum is σ = 859727360000. Its totient is φ = 68474585088.

The previous prime is 242733625291. The next prime is 242733625417. The reversal of 242733625344 is 443526337242.

242733625344 is a `hidden beast` number, since 2 + 4 + 27 + 33 + 62 + 534 + 4 = 666.

It is a super-2 number, since 2×242733625344² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242733625344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3072577497 + ... + 3072577575.

Almost surely, 2^242733625344 is an apocalyptic number.

242733625344 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 242733625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429863680000).

242733625344 is an abundant number, since it is smaller than the sum of its proper divisors (616993734656).

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

242733625344 is an frugal number, since it uses more digits than its factorization.

242733625344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 91 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 45.

The spelling of 242733625344 in words is "two hundred forty-two billion, seven hundred thirty-three million, six hundred twenty-five thousand, three hundred forty-four".