8685131164416 has 864 divisors, whose sum is σ = 30382637376000. Its totient is φ = 2473424916480.

The previous prime is 8685131164379. The next prime is 8685131164433. The reversal of 8685131164416 is 6144611315868.

8685131164416 is a `hidden beast` number, since 8 + 6 + 8 + 513 + 116 + 4 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×8685131164416² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10476635490 + ... + 10476636318.

Almost surely, 2^{8685131164416} 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 8685131164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15191318688000).

8685131164416 is an abundant number, since it is smaller than the sum of its proper divisors (21697506211584).

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

8685131164416 is an frugal number, since it uses more digits than its factorization.

8685131164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1332 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 8685131164416 in words is "eight trillion, six hundred eighty-five billion, one hundred thirty-one million, one hundred sixty-four thousand, four hundred sixteen".