14474128864 has 192 divisors, whose sum is σ = 33977180160. Its totient is φ = 6009292800.

The previous prime is 14474128849. The next prime is 14474128927. The reversal of 14474128864 is 46882147441.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12574689 + ... + 12575839.

It is an arithmetic number, because the mean of its divisors is an integer number (176964480).

Almost surely, 2^14474128864 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 14474128864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988590080).

14474128864 is an abundant number, since it is smaller than the sum of its proper divisors (19503051296).

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

14474128864 is a wasteful number, since it uses less digits than its factorization.

14474128864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1265 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 49.

The spelling of 14474128864 in words is "fourteen billion, four hundred seventy-four million, one hundred twenty-eight thousand, eight hundred sixty-four".