14945013216 has 216 divisors, whose sum is σ = 50441816880. Its totient is φ = 4269583872.

The previous prime is 14945013151. The next prime is 14945013227. The reversal of 14945013216 is 61231054941.

It is a happy number.

14945013216 is a `hidden beast` number, since 149 + 4 + 501 + 3 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1464580 + ... + 1474748.

It is an arithmetic number, because the mean of its divisors is an integer number (233526930).

Almost surely, 2^14945013216 is an apocalyptic number.

14945013216 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 14945013216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25220908440).

14945013216 is an abundant number, since it is smaller than the sum of its proper divisors (35496803664).

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

14945013216 is an frugal number, since it uses more digits than its factorization.

14945013216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210 (or 10181 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 14945013216 in words is "fourteen billion, nine hundred forty-five million, thirteen thousand, two hundred sixteen".