14868827925952 has 448 divisors, whose sum is σ = 39856767713280. Its totient is φ = 5314976870400.

The previous prime is 14868827925869. The next prime is 14868827925983. The reversal of 14868827925952 is 25952972886841.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10191108199 + ... + 10191109657.

It is an arithmetic number, because the mean of its divisors is an integer number (88965999360).

Almost surely, 2^{14868827925952} 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 14868827925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19928383856640).

14868827925952 is an abundant number, since it is smaller than the sum of its proper divisors (24987939787328).

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

14868827925952 is a wasteful number, since it uses less digits than its factorization.

14868827925952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2350 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 76.

The spelling of 14868827925952 in words is "fourteen trillion, eight hundred sixty-eight billion, eight hundred twenty-seven million, nine hundred twenty-five thousand, nine hundred fifty-two".