14134668048 has 160 divisors (see below), whose sum is σ = 40986126720. Its totient is φ = 4663733760.

The previous prime is 14134668047. The next prime is 14134668049. The reversal of 14134668048 is 84086643141.

14134668048 is a `hidden beast` number, since 141 + 3 + 466 + 8 + 0 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (14134668047) and next prime (14134668049).

It is a junction number, because it is equal to n+sod(n) for n = 14134667994 and 14134668012.

It is not an unprimeable number, because it can be changed into a prime (14134668047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26126658 + ... + 26127198.

It is an arithmetic number, because the mean of its divisors is an integer number (256163292).

Almost surely, 2^14134668048 is an apocalyptic number.

14134668048 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 14134668048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20493063360).

14134668048 is an abundant number, since it is smaller than the sum of its proper divisors (26851458672).

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

14134668048 is a wasteful number, since it uses less digits than its factorization.

14134668048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 14134668048 in words is "fourteen billion, one hundred thirty-four million, six hundred sixty-eight thousand, forty-eight".