8127464521344 has 256 divisors, whose sum is σ = 25284444917760. Its totient is φ = 2264597913600.

The previous prime is 8127464521327. The next prime is 8127464521349. The reversal of 8127464521344 is 4431254647218.

It is not an unprimeable number, because it can be changed into a prime (8127464521349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307577317 + ... + 307603739.

It is an arithmetic number, because the mean of its divisors is an integer number (98767362960).

Almost surely, 2^{8127464521344} is an apocalyptic number.

8127464521344 is a gapful number since it is divisible by the number (84) 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 8127464521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12642222458880).

8127464521344 is an abundant number, since it is smaller than the sum of its proper divisors (17156980396416).

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

8127464521344 is a wasteful number, since it uses less digits than its factorization.

8127464521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29279 (or 29267 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The spelling of 8127464521344 in words is "eight trillion, one hundred twenty-seven billion, four hundred sixty-four million, five hundred twenty-one thousand, three hundred forty-four".