14949286560 has 768 divisors, whose sum is σ = 59592153600. Its totient is φ = 3474358272.

The previous prime is 14949286543. The next prime is 14949286567. The reversal of 14949286560 is 6568294941.

14949286560 is a `hidden beast` number, since 1 + 494 + 92 + 8 + 6 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14949286497 and 14949286506.

It is not an unprimeable number, because it can be changed into a prime (14949286567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109118812 + ... + 109118948.

It is an arithmetic number, because the mean of its divisors is an integer number (77593950).

Almost surely, 2^14949286560 is an apocalyptic number.

14949286560 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 14949286560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29796076800).

14949286560 is an abundant number, since it is smaller than the sum of its proper divisors (44642867040).

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

14949286560 is a wasteful number, since it uses less digits than its factorization.

14949286560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 14949286560 in words is "fourteen billion, nine hundred forty-nine million, two hundred eighty-six thousand, five hundred sixty".