14978282760 has 288 divisors, whose sum is σ = 56813477760. Its totient is φ = 3412346112.

The previous prime is 14978282717. The next prime is 14978282779. The reversal of 14978282760 is 6728287941.

It is a happy number.

14978282760 is a `hidden beast` number, since 1 + 497 + 8 + 2 + 82 + 76 + 0 = 666.

14978282760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14978282697 and 14978282706.

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 71 ways as a sum of consecutive naturals, for example, 6119857 + ... + 6122303.

It is an arithmetic number, because the mean of its divisors is an integer number (197269020).

Almost surely, 2^14978282760 is an apocalyptic number.

14978282760 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 14978282760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28406738880).

14978282760 is an abundant number, since it is smaller than the sum of its proper divisors (41835195000).

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

14978282760 is a wasteful number, since it uses less digits than its factorization.

14978282760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 14978282760 in words is "fourteen billion, nine hundred seventy-eight million, two hundred eighty-two thousand, seven hundred sixty".