8460117279744 has 528 divisors, whose sum is σ = 26570554948224. Its totient is φ = 2370773975040.

The previous prime is 8460117279739. The next prime is 8460117279869. The reversal of 8460117279744 is 4479727110648.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652427949 + ... + 652440915.

Almost surely, 2^{8460117279744} 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 8460117279744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285277474112).

8460117279744 is an abundant number, since it is smaller than the sum of its proper divisors (18110437668480).

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

8460117279744 is a wasteful number, since it uses less digits than its factorization.

8460117279744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13082 (or 13033 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 8460117279744 in words is "eight trillion, four hundred sixty billion, one hundred seventeen million, two hundred seventy-nine thousand, seven hundred forty-four".