14252242560 has 512 divisors, whose sum is σ = 50761728000. Its totient is φ = 3387310080.

The previous prime is 14252242517. The next prime is 14252242579. The reversal of 14252242560 is 6524225241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39699661 + ... + 39700019.

It is an arithmetic number, because the mean of its divisors is an integer number (99144000).

Almost surely, 2^14252242560 is an apocalyptic number.

14252242560 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 14252242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25380864000).

14252242560 is an abundant number, since it is smaller than the sum of its proper divisors (36509485440).

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

14252242560 is a wasteful number, since it uses less digits than its factorization.

14252242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 14252242560 in words is "fourteen billion, two hundred fifty-two million, two hundred forty-two thousand, five hundred sixty".