14838130003968 has 468 divisors, whose sum is σ = 46259582192460. Its totient is φ = 4566725689344.

The previous prime is 14838130003943. The next prime is 14838130004069. The reversal of 14838130003968 is 86930003183841.

14838130003968 is a `hidden beast` number, since 148 + 3 + 81 + 30 + 0 + 0 + 396 + 8 = 666.

14838130003968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 547552641024 + 14290577362944 = 739968^2 + 3780288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1760362378 + ... + 1760370806.

It is an arithmetic number, because the mean of its divisors is an integer number (98845261095).

Almost surely, 2^{14838130003968} is an apocalyptic number.

14838130003968 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 14838130003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23129791096230).

14838130003968 is an abundant number, since it is smaller than the sum of its proper divisors (31421452188492).

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

14838130003968 is an equidigital number, since it uses as much as digits as its factorization.

14838130003968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8582 (or 8504 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 14838130003968 in words is "fourteen trillion, eight hundred thirty-eight billion, one hundred thirty million, three thousand, nine hundred sixty-eight".