13982056704 has 756 divisors, whose sum is σ = 53484162480. Its totient is φ = 3605575680.

The previous prime is 13982056663. The next prime is 13982056709. The reversal of 13982056704 is 40765028931.

13982056704 is a `hidden beast` number, since 1 + 3 + 9 + 82 + 0 + 567 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a self number, because there is not a number n which added to its sum of digits gives 13982056704.

It is not an unprimeable number, because it can be changed into a prime (13982056709) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 100590267 + ... + 100590405.

It is a 1-persistent number, because it is pandigital, but 2⋅13982056704 = 27964113408 is not.

Almost surely, 2^13982056704 is an apocalyptic number.

13982056704 is a gapful number since it is divisible by the number (14) 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 13982056704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26742081240).

13982056704 is an abundant number, since it is smaller than the sum of its proper divisors (39502105776).

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

13982056704 is an equidigital number, since it uses as much as digits as its factorization.

13982056704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13982056704 in words is "thirteen billion, nine hundred eighty-two million, fifty-six thousand, seven hundred four".