242453947392 has 264 divisors, whose sum is σ = 721495527480. Its totient is φ = 78369914880.

The previous prime is 242453947363. The next prime is 242453947447. The reversal of 242453947392 is 293749354242.

242453947392 is a `hidden beast` number, since 2 + 4 + 245 + 3 + 9 + 4 + 7 + 392 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12422439936 + 230031507456 = 111456^2 + 479616^2 .

It is a super-3 number, since 3×242453947392³ (a number of 35 digits) contains 333 as substring.

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, 65367234 + ... + 65370942.

Almost surely, 2^242453947392 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 242453947392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360747763740).

242453947392 is an abundant number, since it is smaller than the sum of its proper divisors (479041580088).

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

242453947392 is a wasteful number, since it uses less digits than its factorization.

242453947392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3928 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 242453947392 in words is "two hundred forty-two billion, four hundred fifty-three million, nine hundred forty-seven thousand, three hundred ninety-two".