6314144086528 has 160 divisors (see below), whose sum is σ = 13824458548560. Its totient is φ = 2867704627200.

The previous prime is 6314144086507. The next prime is 6314144086567. The reversal of 6314144086528 is 8256804414136.

It can be written as a sum of positive squares in 8 ways, for example, as 4000192002304 + 2313952084224 = 2000048^2 + 1521168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 942265578 + ... + 942272278.

Almost surely, 2^{6314144086528} is an apocalyptic number.

6314144086528 is a gapful number since it is divisible by the number (68) 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 6314144086528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912229274280).

6314144086528 is an abundant number, since it is smaller than the sum of its proper divisors (7510314462032).

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

6314144086528 is a wasteful number, since it uses less digits than its factorization.

6314144086528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10498 (or 10482 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 6314144086528 in words is "six trillion, three hundred fourteen billion, one hundred forty-four million, eighty-six thousand, five hundred twenty-eight".