14118995424960 has 448 divisors, whose sum is σ = 50326176614400. Its totient is φ = 3726134784000.

The previous prime is 14118995424949. The next prime is 14118995425019. The reversal of 14118995424960 is 6942459981141.

14118995424960 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 8 + 99 + 54 + 2 + 496 + 0 = 666.

It is a super-3 number, since 3×14118995424960³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350928045 + ... + 350968275.

Almost surely, 2^{14118995424960} is an apocalyptic number.

14118995424960 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 14118995424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25163088307200).

14118995424960 is an abundant number, since it is smaller than the sum of its proper divisors (36207181189440).

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

14118995424960 is a wasteful number, since it uses less digits than its factorization.

14118995424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40677 (or 40661 counting only the distinct ones).

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

The spelling of 14118995424960 in words is "fourteen trillion, one hundred eighteen billion, nine hundred ninety-five million, four hundred twenty-four thousand, nine hundred sixty".