239924321986944 has 128 divisors (see below), whose sum is σ = 728437049383680. Its totient is φ = 68540831447040.

The previous prime is 239924321986907. The next prime is 239924321987047. The reversal of 239924321986944 is 449689123429932.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14705214 + ... + 26383554.

It is an arithmetic number, because the mean of its divisors is an integer number (5690914448310).

Almost surely, 2^{239924321986944} is an apocalyptic number.

239924321986944 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 239924321986944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364218524691840).

239924321986944 is an abundant number, since it is smaller than the sum of its proper divisors (488512727396736).

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

239924321986944 is a wasteful number, since it uses less digits than its factorization.

239924321986944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11686008 (or 11685996 counting only the distinct ones).

The product of its digits is 1451188224, while the sum is 75.

The spelling of 239924321986944 in words is "two hundred thirty-nine trillion, nine hundred twenty-four billion, three hundred twenty-one million, nine hundred eighty-six thousand, nine hundred forty-four".