242498525472000 has 1728 divisors, whose sum is σ = 1052217068797440. Its totient is φ = 52386103296000.

The previous prime is 242498525471989. The next prime is 242498525472001. The reversal of 242498525472000 is 274525894242.

242498525472000 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 98 + 5 + 2 + 547 + 2 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242498525472001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16585624690 + ... + 16585639310.

Almost surely, 2^{242498525472000} is an apocalyptic number.

242498525472000 is a gapful number since it is divisible by the number (20) 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 242498525472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526108534398720).

242498525472000 is an abundant number, since it is smaller than the sum of its proper divisors (809718543325440).

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

242498525472000 is a wasteful number, since it uses less digits than its factorization.

242498525472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15117 (or 15090 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 242498525472000 in words is "two hundred forty-two trillion, four hundred ninety-eight billion, five hundred twenty-five million, four hundred seventy-two thousand".