14959848960 has 640 divisors, whose sum is σ = 62067456000. Its totient is φ = 3413975040.

The previous prime is 14959848941. The next prime is 14959848961. The reversal of 14959848960 is 6984895941.

14959848960 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 98 + 489 + 60 = 666.

14959848960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14959848961) by changing a digit.

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, 23707845 + ... + 23708475.

It is an arithmetic number, because the mean of its divisors is an integer number (96980400).

Almost surely, 2^14959848960 is an apocalyptic number.

14959848960 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 14959848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31033728000).

14959848960 is an abundant number, since it is smaller than the sum of its proper divisors (47107607040).

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

14959848960 is an frugal number, since it uses more digits than its factorization.

14959848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 14959848960 in words is "fourteen billion, nine hundred fifty-nine million, eight hundred forty-eight thousand, nine hundred sixty".