242714826498816 has 432 divisors, whose sum is σ = 815666228832000. Its totient is φ = 67976291377152.

The previous prime is 242714826498803. The next prime is 242714826498839. The reversal of 242714826498816 is 618894628417242.

242714826498816 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 1 + 482 + 64 + 9 + 8 + 81 + 6 = 666.

242714826498816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331726215 + ... + 332457081.

Almost surely, 2^{242714826498816} 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 242714826498816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407833114416000).

242714826498816 is an abundant number, since it is smaller than the sum of its proper divisors (572951402333184).

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

242714826498816 is a wasteful number, since it uses less digits than its factorization.

242714826498816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731304 (or 731287 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 72.

The spelling of 242714826498816 in words is "two hundred forty-two trillion, seven hundred fourteen billion, eight hundred twenty-six million, four hundred ninety-eight thousand, eight hundred sixteen".