14815140720 has 320 divisors, whose sum is σ = 48365475840. Its totient is φ = 3748347904.

The previous prime is 14815140649. The next prime is 14815140757. The reversal of 14815140720 is 2704151841.

14815140720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 75203662 + ... + 75203858.

It is an arithmetic number, because the mean of its divisors is an integer number (151142112).

Almost surely, 2^14815140720 is an apocalyptic number.

14815140720 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 14815140720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24182737920).

14815140720 is an abundant number, since it is smaller than the sum of its proper divisors (33550335120).

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

14815140720 is a wasteful number, since it uses less digits than its factorization.

14815140720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 14815140720 in words is "fourteen billion, eight hundred fifteen million, one hundred forty thousand, seven hundred twenty".