14469248640 has 256 divisors, whose sum is σ = 57501757440. Its totient is φ = 3006566400.

The previous prime is 14469248627. The next prime is 14469248663. The reversal of 14469248640 is 4684296441.

It is a super-2 number, since 2×14469248640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14469248640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98905 + ... + 196775.

It is an arithmetic number, because the mean of its divisors is an integer number (224616240).

Almost surely, 2^14469248640 is an apocalyptic number.

14469248640 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 14469248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28750878720).

14469248640 is an abundant number, since it is smaller than the sum of its proper divisors (43032508800).

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

14469248640 is a wasteful number, since it uses less digits than its factorization.

14469248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97911 (or 97899 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 14469248640 in words is "fourteen billion, four hundred sixty-nine million, two hundred forty-eight thousand, six hundred forty".