14828985408 has 224 divisors, whose sum is σ = 42603724800. Its totient is φ = 4538603520.

The previous prime is 14828985383. The next prime is 14828985419. The reversal of 14828985408 is 80458982841.

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, 20397141 + ... + 20397867.

It is an arithmetic number, because the mean of its divisors is an integer number (190195200).

Almost surely, 2^14828985408 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 14828985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21301862400).

14828985408 is an abundant number, since it is smaller than the sum of its proper divisors (27774739392).

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

14828985408 is a wasteful number, since it uses less digits than its factorization.

14828985408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 57.

The spelling of 14828985408 in words is "fourteen billion, eight hundred twenty-eight million, nine hundred eighty-five thousand, four hundred eight".