243442681020 has 432 divisors, whose sum is σ = 938400005088. Its totient is φ = 50515153920.

The previous prime is 243442681007. The next prime is 243442681037. The reversal of 243442681020 is 20186244342.

243442681020 is a `hidden beast` number, since 24 + 344 + 268 + 10 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98280022 + ... + 98282498.

It is an arithmetic number, because the mean of its divisors is an integer number (2172222234).

Almost surely, 2^243442681020 is an apocalyptic number.

243442681020 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 243442681020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469200002544).

243442681020 is an abundant number, since it is smaller than the sum of its proper divisors (694957324068).

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

243442681020 is a wasteful number, since it uses less digits than its factorization.

243442681020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 243442681020 in words is "two hundred forty-three billion, four hundred forty-two million, six hundred eighty-one thousand, twenty".