8133894566824 has 384 divisors, whose sum is σ = 17746016440320. Its totient is φ = 3472337756160.

The previous prime is 8133894566821. The next prime is 8133894566827. The reversal of 8133894566824 is 4286654983318.

It is an interprime number because it is at equal distance from previous prime (8133894566821) and next prime (8133894566827).

It is a self number, because there is not a number n which added to its sum of digits gives 8133894566824.

It is not an unprimeable number, because it can be changed into a prime (8133894566821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64046413849 + ... + 64046413975.

It is an arithmetic number, because the mean of its divisors is an integer number (46213584480).

Almost surely, 2^{8133894566824} 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 8133894566824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873008220160).

8133894566824 is an abundant number, since it is smaller than the sum of its proper divisors (9612121873496).

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

8133894566824 is a wasteful number, since it uses less digits than its factorization.

8133894566824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 446 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 67.

The spelling of 8133894566824 in words is "eight trillion, one hundred thirty-three billion, eight hundred ninety-four million, five hundred sixty-six thousand, eight hundred twenty-four".