14828129064 has 192 divisors, whose sum is σ = 47669207040. Its totient is φ = 4074675840.

The previous prime is 14828129051. The next prime is 14828129081. The reversal of 14828129064 is 46092182841.

14828129064 is a `hidden beast` number, since 1 + 482 + 81 + 2 + 90 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2606367 + ... + 2612049.

It is an arithmetic number, because the mean of its divisors is an integer number (248277120).

Almost surely, 2^14828129064 is an apocalyptic number.

14828129064 is a gapful number since it is divisible by the number (14) 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 14828129064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23834603520).

14828129064 is an abundant number, since it is smaller than the sum of its proper divisors (32841077976).

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

14828129064 is a wasteful number, since it uses less digits than its factorization.

14828129064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14828129064 in words is "fourteen billion, eight hundred twenty-eight million, one hundred twenty-nine thousand, sixty-four".