14144488512 has 448 divisors, whose sum is σ = 49846358016. Its totient is φ = 3426877440.

The previous prime is 14144488483. The next prime is 14144488543. The reversal of 14144488512 is 21588444141.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41971608 + ... + 41971944.

It is an arithmetic number, because the mean of its divisors is an integer number (111264192).

Almost surely, 2^14144488512 is an apocalyptic number.

14144488512 is a gapful number since it is divisible by the number (12) 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 14144488512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24923179008).

14144488512 is an abundant number, since it is smaller than the sum of its proper divisors (35701869504).

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

14144488512 is a wasteful number, since it uses less digits than its factorization.

14144488512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its digits is 163840, while the sum is 42.

The spelling of 14144488512 in words is "fourteen billion, one hundred forty-four million, four hundred eighty-eight thousand, five hundred twelve".