8606634345456 has 320 divisors, whose sum is σ = 27246355169280. Its totient is φ = 2286562037760.

The previous prime is 8606634345451. The next prime is 8606634345461. The reversal of 8606634345456 is 6545434366068.

It is an interprime number because it is at equal distance from previous prime (8606634345451) and next prime (8606634345461).

It is a self number, because there is not a number n which added to its sum of digits gives 8606634345456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8606634345451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74245461 + ... + 74361291.

It is an arithmetic number, because the mean of its divisors is an integer number (85144859904).

Almost surely, 2^{8606634345456} 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 8606634345456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623177584640).

8606634345456 is an abundant number, since it is smaller than the sum of its proper divisors (18639720823824).

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

8606634345456 is a wasteful number, since it uses less digits than its factorization.

8606634345456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116084 (or 116078 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 60.

The spelling of 8606634345456 in words is "eight trillion, six hundred six billion, six hundred thirty-four million, three hundred forty-five thousand, four hundred fifty-six".