14968975564800 has 2688 divisors, whose sum is σ = 63626329440000. Its totient is φ = 3436456181760.

The previous prime is 14968975564799. The next prime is 14968975564801. The reversal of 14968975564800 is 846557986941.

14968975564800 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 8 + 97 + 5 + 56 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14968975564799) and next prime (14968975564801).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (14968975564801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 516171571186 + ... + 516171571214.

Almost surely, 2^{14968975564800} is an apocalyptic number.

14968975564800 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 14968975564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31813164720000).

14968975564800 is an abundant number, since it is smaller than the sum of its proper divisors (48657353875200).

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

14968975564800 is an equidigital number, since it uses as much as digits as its factorization.

14968975564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 14968975564800 in words is "fourteen trillion, nine hundred sixty-eight billion, nine hundred seventy-five million, five hundred sixty-four thousand, eight hundred".