13984803240960 has 352 divisors, whose sum is σ = 49130845493760. Its totient is φ = 3379392479232.

The previous prime is 13984803240943. The next prime is 13984803241009. The reversal of 13984803240960 is 6904230848931.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 13984803240960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5670594 + ... + 7754046.

Almost surely, 2^{13984803240960} is an apocalyptic number.

13984803240960 is a gapful number since it is divisible by the number (10) 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 13984803240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24565422746880).

13984803240960 is an abundant number, since it is smaller than the sum of its proper divisors (35146042252800).

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

13984803240960 is a wasteful number, since it uses less digits than its factorization.

13984803240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083523 (or 2083505 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 13984803240960 in words is "thirteen trillion, nine hundred eighty-four billion, eight hundred three million, two hundred forty thousand, nine hundred sixty".