14446675055160 has 256 divisors, whose sum is σ = 49080945600000. Its totient is φ = 3778708856832.

The previous prime is 14446675055023. The next prime is 14446675055201. The reversal of 14446675055160 is 6155057664441.

14446675055160 is a `hidden beast` number, since 1 + 4 + 4 + 466 + 75 + 0 + 5 + 51 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14446675055097 and 14446675055106.

It is a congruent number.

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, 28357807 + ... + 28862753.

It is an arithmetic number, because the mean of its divisors is an integer number (191722443750).

Almost surely, 2^{14446675055160} is an apocalyptic number.

14446675055160 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 14446675055160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24540472800000).

14446675055160 is an abundant number, since it is smaller than the sum of its proper divisors (34634270544840).

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

14446675055160 is a wasteful number, since it uses less digits than its factorization.

14446675055160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505475 (or 505465 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 14446675055160 in words is "fourteen trillion, four hundred forty-six billion, six hundred seventy-five million, fifty-five thousand, one hundred sixty".