8941271346864 has 160 divisors (see below), whose sum is σ = 26567638104000. Its totient is φ = 2875711942656.

The previous prime is 8941271346863. The next prime is 8941271346941. The reversal of 8941271346864 is 4686431721498.

8941271346864 is a `hidden beast` number, since 8 + 9 + 41 + 2 + 71 + 3 + 468 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (8941271346863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18414534 + ... + 18893850.

It is an arithmetic number, because the mean of its divisors is an integer number (166047738150).

Almost surely, 2^{8941271346864} 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 8941271346864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13283819052000).

8941271346864 is an abundant number, since it is smaller than the sum of its proper divisors (17626366757136).

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

8941271346864 is a wasteful number, since it uses less digits than its factorization.

8941271346864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480852 (or 480840 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 8941271346864 in words is "eight trillion, nine hundred forty-one billion, two hundred seventy-one million, three hundred forty-six thousand, eight hundred sixty-four".