243409496064 has 288 divisors, whose sum is σ = 787725207360. Its totient is φ = 66519957504.

The previous prime is 243409496059. The next prime is 243409496119. The reversal of 243409496064 is 460694904342.

It is a junction number, because it is equal to n+sod(n) for n = 243409495998 and 243409496016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6906712 + ... + 6941864.

It is an arithmetic number, because the mean of its divisors is an integer number (2735156970).

Almost surely, 2^243409496064 is an apocalyptic number.

243409496064 is a gapful number since it is divisible by the number (24) 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 243409496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393862603680).

243409496064 is an abundant number, since it is smaller than the sum of its proper divisors (544315711296).

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

243409496064 is a wasteful number, since it uses less digits than its factorization.

243409496064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35215 (or 35188 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 243409496064 in words is "two hundred forty-three billion, four hundred nine million, four hundred ninety-six thousand, sixty-four".