14387871577352 has 384 divisors, whose sum is σ = 36194268499200. Its totient is φ = 5206809600000.

The previous prime is 14387871577207. The next prime is 14387871577421. The reversal of 14387871577352 is 25377517878341.

It is a super-3 number, since 3×14387871577352³ (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 95 ways as a sum of consecutive naturals, for example, 7988822852 + ... + 7988824652.

It is an arithmetic number, because the mean of its divisors is an integer number (94255907550).

Almost surely, 2^{14387871577352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14387871577352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18097134249600).

14387871577352 is an abundant number, since it is smaller than the sum of its proper divisors (21806396921848).

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

14387871577352 is a wasteful number, since it uses less digits than its factorization.

14387871577352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2474 counting only the distinct ones).

The product of its digits is 276595200, while the sum is 68.

The spelling of 14387871577352 in words is "fourteen trillion, three hundred eighty-seven billion, eight hundred seventy-one million, five hundred seventy-seven thousand, three hundred fifty-two".