14805986328 has 384 divisors, whose sum is σ = 49881484800. Its totient is φ = 3985369344.

The previous prime is 14805986317. The next prime is 14805986381. The reversal of 14805986328 is 82368950841.

14805986328 is a `hidden beast` number, since 1 + 48 + 0 + 598 + 6 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×14805986328² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85583650 + ... + 85583822.

It is an arithmetic number, because the mean of its divisors is an integer number (129899700).

Almost surely, 2^14805986328 is an apocalyptic number.

14805986328 is a gapful number since it is divisible by the number (18) 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 14805986328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24940742400).

14805986328 is an abundant number, since it is smaller than the sum of its proper divisors (35075498472).

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

14805986328 is a wasteful number, since it uses less digits than its factorization.

14805986328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 14805986328 in words is "fourteen billion, eight hundred five million, nine hundred eighty-six thousand, three hundred twenty-eight".