14775490418208 has 768 divisors, whose sum is σ = 46556865331200. Its totient is φ = 4061933568000.

The previous prime is 14775490418167. The next prime is 14775490418209. The reversal of 14775490418208 is 80281409457741.

It is a happy number.

14775490418208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14775490418209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4644918378 + ... + 4644921558.

It is an arithmetic number, because the mean of its divisors is an integer number (60620918400).

Almost surely, 2^{14775490418208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14775490418208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23278432665600).

14775490418208 is an abundant number, since it is smaller than the sum of its proper divisors (31781374912992).

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

14775490418208 is a wasteful number, since it uses less digits than its factorization.

14775490418208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 14775490418208 in words is "fourteen trillion, seven hundred seventy-five billion, four hundred ninety million, four hundred eighteen thousand, two hundred eight".