242354661062544 has 560 divisors, whose sum is σ = 743689488118080. Its totient is φ = 76263569141760.

The previous prime is 242354661062539. The next prime is 242354661062593. The reversal of 242354661062544 is 445260166453242.

242354661062544 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 5 + 4 + 6 + 6 + 1 + 0 + 625 + 4 + 4 = 666.

It is a super-3 number, since 3×242354661062544³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 101958207084 + ... + 101958209460.

It is an arithmetic number, because the mean of its divisors is an integer number (1328016943068).

Almost surely, 2^{242354661062544} is an apocalyptic number.

242354661062544 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 242354661062544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371844744059040).

242354661062544 is an abundant number, since it is smaller than the sum of its proper divisors (501334827055536).

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

242354661062544 is a wasteful number, since it uses less digits than its factorization.

242354661062544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 242354661062544 in words is "two hundred forty-two trillion, three hundred fifty-four billion, six hundred sixty-one million, sixty-two thousand, five hundred forty-four".