8094971211264 has 480 divisors, whose sum is σ = 27667299179520. Its totient is φ = 2230435823616.

The previous prime is 8094971211263. The next prime is 8094971211293. The reversal of 8094971211264 is 4621121794908.

8094971211264 is a `hidden beast` number, since 8 + 0 + 9 + 497 + 1 + 21 + 126 + 4 = 666.

It is a super-2 number, since 2×8094971211264² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8094971211264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8094971211263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109536694 + ... + 109610570.

It is an arithmetic number, because the mean of its divisors is an integer number (57640206624).

Almost surely, 2^{8094971211264} is an apocalyptic number.

8094971211264 is a gapful number since it is divisible by the number (84) 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 8094971211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13833649589760).

8094971211264 is an abundant number, since it is smaller than the sum of its proper divisors (19572327968256).

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

8094971211264 is a wasteful number, since it uses less digits than its factorization.

8094971211264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74030 (or 74011 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 8094971211264 in words is "eight trillion, ninety-four billion, nine hundred seventy-one million, two hundred eleven thousand, two hundred sixty-four".