14981036960 has 96 divisors (see below), whose sum is σ = 35961870672. Its totient is φ = 5896765440.

The previous prime is 14981036947. The next prime is 14981036969. The reversal of 14981036960 is 6963018941.

It can be written as a sum of positive squares in 8 ways, for example, as 6426266896 + 8554770064 = 80164^2 + 92492^2 .

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14981036969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2806454 + ... + 2811786.

Almost surely, 2^14981036960 is an apocalyptic number.

14981036960 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 14981036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980935336).

14981036960 is an abundant number, since it is smaller than the sum of its proper divisors (20980833712).

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

14981036960 is a wasteful number, since it uses less digits than its factorization.

14981036960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The spelling of 14981036960 in words is "fourteen billion, nine hundred eighty-one million, thirty-six thousand, nine hundred sixty".