13881241710336 has 2304 divisors, whose sum is σ = 53082579271680. Its totient is φ = 3105423360000.

The previous prime is 13881241710307. The next prime is 13881241710341. The reversal of 13881241710336 is 63301714218831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 137438036686 + ... + 137438036786.

It is an arithmetic number, because the mean of its divisors is an integer number (23039313920).

Almost surely, 2^{13881241710336} is an apocalyptic number.

13881241710336 is a gapful number since it is divisible by the number (16) 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 13881241710336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26541289635840).

13881241710336 is an abundant number, since it is smaller than the sum of its proper divisors (39201337561344).

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

13881241710336 is a wasteful number, since it uses less digits than its factorization.

13881241710336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 13881241710336 in words is "thirteen trillion, eight hundred eighty-one billion, two hundred forty-one million, seven hundred ten thousand, three hundred thirty-six".