242548370064 has 1215 divisors, whose sum is σ = 963314084187. Its totient is φ = 56735078400.

The previous prime is 242548370017. The next prime is 242548370069. The reversal of 242548370064 is 460073845242.

It is a happy number.

The square root of 242548370064 is 492492.

It is a perfect power (a square), and thus also a powerful number.

242548370064 is a `hidden beast` number, since 2 + 42 + 5 + 483 + 70 + 0 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 161555763600 + 80992606464 = 401940^2 + 284592^2 .

It is not an unprimeable number, because it can be changed into a prime (242548370069) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 5915813884 + ... + 5915813924.

Almost surely, 2^242548370064 is an apocalyptic number.

242548370064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

242548370064 is the 492492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242548370064

242548370064 is an abundant number, since it is smaller than the sum of its proper divisors (720765714123).

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

242548370064 is a wasteful number, since it uses less digits than its factorization.

242548370064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 242548370064 in words is "two hundred forty-two billion, five hundred forty-eight million, three hundred seventy thousand, sixty-four".