8712382336128 has 512 divisors, whose sum is σ = 27101122560000. Its totient is φ = 2751907737600.

The previous prime is 8712382336121. The next prime is 8712382336139. The reversal of 8712382336128 is 8216332832178.

8712382336128 is a `hidden beast` number, since 8 + 7 + 1 + 238 + 23 + 361 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8712382336121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1133387901 + ... + 1133395587.

It is an arithmetic number, because the mean of its divisors is an integer number (52931880000).

Almost surely, 2^{8712382336128} 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 8712382336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13550561280000).

8712382336128 is an abundant number, since it is smaller than the sum of its proper divisors (18388740223872).

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

8712382336128 is a wasteful number, since it uses less digits than its factorization.

8712382336128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7943 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 8712382336128 in words is "eight trillion, seven hundred twelve billion, three hundred eighty-two million, three hundred thirty-six thousand, one hundred twenty-eight".