14474880000 has 660 divisors, whose sum is σ = 59855590080. Its totient is φ = 3299328000.

The previous prime is 14474879987. The next prime is 14474880019. The reversal of 14474880000 is 8847441.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40319821 + ... + 40320179.

It is an arithmetic number, because the mean of its divisors is an integer number (90690288).

Almost surely, 2^14474880000 is an apocalyptic number.

14474880000 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 14474880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29927795040).

14474880000 is an abundant number, since it is smaller than the sum of its proper divisors (45380710080).

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

14474880000 is an equidigital number, since it uses as much as digits as its factorization.

14474880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 14474880000 in words is "fourteen billion, four hundred seventy-four million, eight hundred eighty thousand".