13982364480 has 448 divisors, whose sum is σ = 54729400320. Its totient is φ = 2952806400.

The previous prime is 13982364479. The next prime is 13982364503. The reversal of 13982364480 is 8446328931.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 5233545 + ... + 5236215.

It is an arithmetic number, because the mean of its divisors is an integer number (122163840).

Almost surely, 2^13982364480 is an apocalyptic number.

13982364480 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 13982364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27364700160).

13982364480 is an abundant number, since it is smaller than the sum of its proper divisors (40747035840).

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

13982364480 is a wasteful number, since it uses less digits than its factorization.

13982364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 13982364480 in words is "thirteen billion, nine hundred eighty-two million, three hundred sixty-four thousand, four hundred eighty".