14124519072 has 96 divisors (see below), whose sum is σ = 41561372160. Its totient is φ = 4666475520.

The previous prime is 14124519061. The next prime is 14124519089. The reversal of 14124519072 is 27091542141.

14124519072 is a `hidden beast` number, since 14 + 124 + 519 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25297 + ... + 169967.

It is an arithmetic number, because the mean of its divisors is an integer number (432930960).

Almost surely, 2^14124519072 is an apocalyptic number.

14124519072 is a gapful number since it is divisible by the number (12) 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 14124519072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20780686080).

14124519072 is an abundant number, since it is smaller than the sum of its proper divisors (27436853088).

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

14124519072 is a wasteful number, since it uses less digits than its factorization.

14124519072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144803 (or 144789 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 14124519072 in words is "fourteen billion, one hundred twenty-four million, five hundred nineteen thousand, seventy-two".