14485190016 has 256 divisors, whose sum is σ = 43306099200. Its totient is φ = 4252385280.

The previous prime is 14485189933. The next prime is 14485190029. The reversal of 14485190016 is 61009158441.

14485190016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19924245 + ... + 19924971.

It is an arithmetic number, because the mean of its divisors is an integer number (169164450).

Almost surely, 2^14485190016 is an apocalyptic number.

14485190016 is a gapful number since it is divisible by the number (16) 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 14485190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21653049600).

14485190016 is an abundant number, since it is smaller than the sum of its proper divisors (28820909184).

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

14485190016 is a wasteful number, since it uses less digits than its factorization.

14485190016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 14485190016 in words is "fourteen billion, four hundred eighty-five million, one hundred ninety thousand, sixteen".