13800468546288 has 120 divisors (see below), whose sum is σ = 38747107526400. Its totient is φ = 4585278234240.

The previous prime is 13800468546283. The next prime is 13800468546299. The reversal of 13800468546288 is 88264586400831.

13800468546288 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 0 + 4 + 6 + 8 + 546 + 2 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800468546281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243010345 + ... + 243067127.

It is an arithmetic number, because the mean of its divisors is an integer number (322892562720).

Almost surely, 2^{13800468546288} is an apocalyptic number.

13800468546288 is a gapful number since it is divisible by the number (18) 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 13800468546288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373553763200).

13800468546288 is an abundant number, since it is smaller than the sum of its proper divisors (24946638980112).

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

13800468546288 is a wasteful number, since it uses less digits than its factorization.

13800468546288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62227 (or 62218 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 13800468546288 in words is "thirteen trillion, eight hundred billion, four hundred sixty-eight million, five hundred forty-six thousand, two hundred eighty-eight".