14155115445200 has 120 divisors (see below), whose sum is σ = 34281239249400. Its totient is φ = 5616598579200.

The previous prime is 14155115445199. The next prime is 14155115445217. The reversal of 14155115445200 is 254451155141.

It can be written as a sum of positive squares in 12 ways, for example, as 3562459952704 + 10592655492496 = 1887448^2 + 3254636^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44960330 + ... + 45274070.

It is an arithmetic number, because the mean of its divisors is an integer number (285676993745).

Almost surely, 2^{14155115445200} is an apocalyptic number.

14155115445200 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 14155115445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17140619624700).

14155115445200 is an abundant number, since it is smaller than the sum of its proper divisors (20126123804200).

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

14155115445200 is a wasteful number, since it uses less digits than its factorization.

14155115445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314665 (or 314654 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 38.

The spelling of 14155115445200 in words is "fourteen trillion, one hundred fifty-five billion, one hundred fifteen million, four hundred forty-five thousand, two hundred".