8164316160000 has 4480 divisors, whose sum is σ = 41271948748800. Its totient is φ = 1539440640000.

The previous prime is 8164316159969. The next prime is 8164316160001. The reversal of 8164316160000 is 616134618.

8164316160000 is a `hidden beast` number, since 8 + 1 + 6 + 4 + 31 + 616 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8164316160001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 138378239971 + ... + 138378240029.

It is an arithmetic number, because the mean of its divisors is an integer number (9212488560).

Almost surely, 2^{8164316160000} is an apocalyptic number.

8164316160000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8164316160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20635974374400).

8164316160000 is an abundant number, since it is smaller than the sum of its proper divisors (33107632588800).

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

8164316160000 is a wasteful number, since it uses less digits than its factorization.

8164316160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 8164316160000 in words is "eight trillion, one hundred sixty-four billion, three hundred sixteen million, one hundred sixty thousand".