14008090752 has 448 divisors, whose sum is σ = 44790615360. Its totient is φ = 4352071680.

The previous prime is 14008090751. The next prime is 14008090757. The reversal of 14008090752 is 25709080041.

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

It is not an unprimeable number, because it can be changed into a prime (14008090751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 130916683 + ... + 130916789.

Almost surely, 2^14008090752 is an apocalyptic number.

14008090752 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 14008090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22395307680).

14008090752 is an abundant number, since it is smaller than the sum of its proper divisors (30782524608).

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

14008090752 is an equidigital number, since it uses as much as digits as its factorization.

14008090752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

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

The spelling of 14008090752 in words is "fourteen billion, eight million, ninety thousand, seven hundred fifty-two".