14965243560960 has 1408 divisors, whose sum is σ = 62575558262784. Its totient is φ = 2959919677440.

The previous prime is 14965243560947. The next prime is 14965243560997. The reversal of 14965243560960 is 6906534256941.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×14965243560960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 14965243560894 and 14965243560903.

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 127 ways as a sum of consecutive naturals, for example, 6066169647 + ... + 6066172113.

Almost surely, 2^{14965243560960} is an apocalyptic number.

14965243560960 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 14965243560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31287779131392).

14965243560960 is an abundant number, since it is smaller than the sum of its proper divisors (47610314701824).

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

14965243560960 is a wasteful number, since it uses less digits than its factorization.

14965243560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 60.

The spelling of 14965243560960 in words is "fourteen trillion, nine hundred sixty-five billion, two hundred forty-three million, five hundred sixty thousand, nine hundred sixty".