14444507082000 has 80 divisors (see below), whose sum is σ = 46569090851712. Its totient is φ = 3851868553600.

The previous prime is 14444507081999. The next prime is 14444507082001. The reversal of 14444507082000 is 28070544441.

14444507082000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14444507081999) and next prime (14444507082001).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 14444507082000.

It is not an unprimeable number, because it can be changed into a prime (14444507082001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1203702924 + ... + 1203714923.

Almost surely, 2^{14444507082000} is an apocalyptic number.

14444507082000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444507082000 is an abundant number, since it is smaller than the sum of its proper divisors (32124583769712).

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

14444507082000 is a wasteful number, since it uses less digits than its factorization.

14444507082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407417873 (or 2407417857 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 39.

The spelling of 14444507082000 in words is "fourteen trillion, four hundred forty-four billion, five hundred seven million, eighty-two thousand".