242848224900000 has 1152 divisors, whose sum is σ = 942616858659840. Its totient is φ = 60611328000000.

The previous prime is 242848224899977. The next prime is 242848224900049. The reversal of 242848224900000 is 9422848242.

242848224900000 is a `hidden beast` number, since 2 + 4 + 2 + 84 + 82 + 2 + 490 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8307885385 + ... + 8307914615.

It is an arithmetic number, because the mean of its divisors is an integer number (818243800920).

Almost surely, 2^{242848224900000} is an apocalyptic number.

242848224900000 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 242848224900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471308429329920).

242848224900000 is an abundant number, since it is smaller than the sum of its proper divisors (699768633759840).

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

242848224900000 is a wasteful number, since it uses less digits than its factorization.

242848224900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29473 (or 29439 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 242848224900000 in words is "two hundred forty-two trillion, eight hundred forty-eight billion, two hundred twenty-four million, nine hundred thousand".