8127116247744 has 896 divisors, whose sum is σ = 27662516582400. Its totient is φ = 2317601341440.

The previous prime is 8127116247743. The next prime is 8127116247793. The reversal of 8127116247744 is 4477426117218.

8127116247744 is a `hidden beast` number, since 8 + 1 + 2 + 7 + 1 + 1 + 624 + 7 + 7 + 4 + 4 = 666.

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 (8127116247743) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16552171339 + ... + 16552171829.

It is an arithmetic number, because the mean of its divisors is an integer number (30873344400).

Almost surely, 2^{8127116247744} 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 8127116247744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13831258291200).

8127116247744 is an abundant number, since it is smaller than the sum of its proper divisors (19535400334656).

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

8127116247744 is a wasteful number, since it uses less digits than its factorization.

8127116247744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1102 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The spelling of 8127116247744 in words is "eight trillion, one hundred twenty-seven billion, one hundred sixteen million, two hundred forty-seven thousand, seven hundred forty-four".