8508408201216 has 864 divisors, whose sum is σ = 31312608058368. Its totient is φ = 2161870110720.

The previous prime is 8508408201203. The next prime is 8508408201229. The reversal of 8508408201216 is 6121028048058.

8508408201216 is a `hidden beast` number, since 8 + 5 + 0 + 8 + 408 + 20 + 1 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (8508408201203) and next prime (8508408201229).

It is a congruent number.

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, 4269145116 + ... + 4269147108.

It is an arithmetic number, because the mean of its divisors is an integer number (36241444512).

Almost surely, 2^{8508408201216} 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 8508408201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15656304029184).

8508408201216 is an abundant number, since it is smaller than the sum of its proper divisors (22804199857152).

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

8508408201216 is a wasteful number, since it uses less digits than its factorization.

8508408201216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 8508408201216 in words is "eight trillion, five hundred eight billion, four hundred eight million, two hundred one thousand, two hundred sixteen".