14845468065120 has 5760 divisors, whose sum is σ = 75684168806400. Its totient is φ = 2664453242880.

The previous prime is 14845468065091. The next prime is 14845468065133. The reversal of 14845468065120 is 2156086454841.

14845468065120 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 5 + 46 + 80 + 6 + 512 + 0 = 666.

14845468065120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14845468065120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 187917317241 + ... + 187917317319.

It is an arithmetic number, because the mean of its divisors is an integer number (13139612640).

Almost surely, 2^{14845468065120} is an apocalyptic number.

14845468065120 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 14845468065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37842084403200).

14845468065120 is an abundant number, since it is smaller than the sum of its proper divisors (60838700741280).

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

14845468065120 is a wasteful number, since it uses less digits than its factorization.

14845468065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 14845468065120 in words is "fourteen trillion, eight hundred forty-five billion, four hundred sixty-eight million, sixty-five thousand, one hundred twenty".