242362819081152 has 504 divisors, whose sum is σ = 903074081927472. Its totient is φ = 61415978803200.

The previous prime is 242362819081109. The next prime is 242362819081171. The reversal of 242362819081152 is 251180918263242.

242362819081152 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 628 + 1 + 9 + 0 + 8 + 1 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3208938 + ... + 22249110.

It is an arithmetic number, because the mean of its divisors is an integer number (1791813654618).

Almost surely, 2^{242362819081152} is an apocalyptic number.

242362819081152 is a gapful number since it is divisible by the number (22) 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 242362819081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451537040963736).

242362819081152 is an abundant number, since it is smaller than the sum of its proper divisors (660711262846320).

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

242362819081152 is a wasteful number, since it uses less digits than its factorization.

242362819081152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19040257 (or 19040237 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 242362819081152 in words is "two hundred forty-two trillion, three hundred sixty-two billion, eight hundred nineteen million, eighty-one thousand, one hundred fifty-two".