14671948158 has 96 divisors (see below), whose sum is σ = 38525872320. Its totient is φ = 3939425280.

The previous prime is 14671948157. The next prime is 14671948211. The reversal of 14671948158 is 85184917641.

14671948158 is a `hidden beast` number, since 1 + 46 + 71 + 9 + 481 + 58 = 666.

14671948158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14671948153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1513848 + ... + 1523508.

It is an arithmetic number, because the mean of its divisors is an integer number (401311170).

Almost surely, 2^14671948158 is an apocalyptic number.

14671948158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14671948158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262936160).

14671948158 is an abundant number, since it is smaller than the sum of its proper divisors (23853924162).

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

14671948158 is a wasteful number, since it uses less digits than its factorization.

14671948158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402 (or 10399 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 14671948158 in words is "fourteen billion, six hundred seventy-one million, nine hundred forty-eight thousand, one hundred fifty-eight".