13982674464 has 384 divisors, whose sum is σ = 47447285760. Its totient is φ = 3963801600.

The previous prime is 13982674439. The next prime is 13982674469. The reversal of 13982674464 is 46447628931.

13982674464 is a `hidden beast` number, since 1 + 3 + 98 + 26 + 74 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13982674464.

It is not an unprimeable number, because it can be changed into a prime (13982674469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10273144 + ... + 10274504.

It is an arithmetic number, because the mean of its divisors is an integer number (123560640).

Almost surely, 2^13982674464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13982674464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23723642880).

13982674464 is an abundant number, since it is smaller than the sum of its proper divisors (33464611296).

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

13982674464 is a wasteful number, since it uses less digits than its factorization.

13982674464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1447 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 13982674464 in words is "thirteen billion, nine hundred eighty-two million, six hundred seventy-four thousand, four hundred sixty-four".