14001082647552 has 2464 divisors, whose sum is σ = 57843164139264. Its totient is φ = 3267860889600.

The previous prime is 14001082647523. The next prime is 14001082647553. The reversal of 14001082647552 is 25574628010041.

14001082647552 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 10 + 82 + 6 + 4 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

It is a junction number, because it is equal to n+sod(n) for n = 14001082647498 and 14001082647507.

It is not an unprimeable number, because it can be changed into a prime (14001082647553) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 30636942108 + ... + 30636942564.

Almost surely, 2^{14001082647552} is an apocalyptic number.

14001082647552 is a gapful number since it is divisible by the number (12) 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 14001082647552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28921582069632).

14001082647552 is an abundant number, since it is smaller than the sum of its proper divisors (43842081491712).

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

14001082647552 is a wasteful number, since it uses less digits than its factorization.

14001082647552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 14001082647552 in words is "fourteen trillion, one billion, eighty-two million, six hundred forty-seven thousand, five hundred fifty-two".