6315344013888 has 1008 divisors, whose sum is σ = 23602776410304. Its totient is φ = 1659505397760.

The previous prime is 6315344013887. The next prime is 6315344013917. The reversal of 6315344013888 is 8883104435136.

6315344013888 is a `hidden beast` number, since 6 + 3 + 153 + 4 + 401 + 3 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6315344013887) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3140398803 + ... + 3140400813.

It is an arithmetic number, because the mean of its divisors is an integer number (23415452788).

Almost surely, 2^{6315344013888} 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 6315344013888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11801388205152).

6315344013888 is an abundant number, since it is smaller than the sum of its proper divisors (17287432396416).

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

6315344013888 is a wasteful number, since it uses less digits than its factorization.

6315344013888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 6315344013888 in words is "six trillion, three hundred fifteen billion, three hundred forty-four million, thirteen thousand, eight hundred eighty-eight".