14852828640 has 288 divisors, whose sum is σ = 50922025056. Its totient is φ = 3637370880.

The previous prime is 14852828623. The next prime is 14852828659. The reversal of 14852828640 is 4682825841.

14852828640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 14852828640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22469910 + ... + 22470570.

It is an arithmetic number, because the mean of its divisors is an integer number (176812587).

Almost surely, 2^14852828640 is an apocalyptic number.

14852828640 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 14852828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25461012528).

14852828640 is an abundant number, since it is smaller than the sum of its proper divisors (36069196416).

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

14852828640 is a wasteful number, since it uses less digits than its factorization.

14852828640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 14852828640 in words is "fourteen billion, eight hundred fifty-two million, eight hundred twenty-eight thousand, six hundred forty".