14691048000 has 224 divisors, whose sum is σ = 48688069248. Its totient is φ = 3903232000.

The previous prime is 14691047989. The next prime is 14691048011. The reversal of 14691048000 is 84019641.

14691048000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14691047989) and next prime (14691048011).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7607035 + ... + 7608965.

It is an arithmetic number, because the mean of its divisors is an integer number (217357452).

Almost surely, 2^14691048000 is an apocalyptic number.

14691048000 is a gapful number since it is divisible by the number (10) 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 14691048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24344034624).

14691048000 is an abundant number, since it is smaller than the sum of its proper divisors (33997021248).

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

14691048000 is a wasteful number, since it uses less digits than its factorization.

14691048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 14691048000 in words is "fourteen billion, six hundred ninety-one million, forty-eight thousand".