14580450985968 has 400 divisors, whose sum is σ = 49594261210560. Its totient is φ = 4048167186432.

The previous prime is 14580450985957. The next prime is 14580450985993. The reversal of 14580450985968 is 86958905408541.

14580450985968 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 0 + 4 + 509 + 8 + 59 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14580450985896 and 14580450985905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 271525330 + ... + 271579022.

Almost surely, 2^{14580450985968} is an apocalyptic number.

14580450985968 is a gapful number since it is divisible by the number (18) 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 14580450985968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24797130605280).

14580450985968 is an abundant number, since it is smaller than the sum of its proper divisors (35013810224592).

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

14580450985968 is a wasteful number, since it uses less digits than its factorization.

14580450985968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54566 (or 54551 counting only the distinct ones).

The product of its (nonzero) digits is 497664000, while the sum is 72.

The spelling of 14580450985968 in words is "fourteen trillion, five hundred eighty billion, four hundred fifty million, nine hundred eighty-five thousand, nine hundred sixty-eight".