8831331344160 has 768 divisors, whose sum is σ = 34707120537600. Its totient is φ = 2082329690112.

The previous prime is 8831331344119. The next prime is 8831331344167. The reversal of 8831331344160 is 614431331388.

8831331344160 is a `hidden beast` number, since 8 + 8 + 3 + 133 + 13 + 441 + 60 = 666.

It is a super-2 number, since 2×8831331344160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8831331344167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 206815932 + ... + 206858628.

It is an arithmetic number, because the mean of its divisors is an integer number (45191563200).

Almost surely, 2^{8831331344160} is an apocalyptic number.

8831331344160 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 8831331344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353560268800).

8831331344160 is an abundant number, since it is smaller than the sum of its proper divisors (25875789193440).

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

8831331344160 is a wasteful number, since it uses less digits than its factorization.

8831331344160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42890 (or 42876 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 8831331344160 in words is "eight trillion, eight hundred thirty-one billion, three hundred thirty-one million, three hundred forty-four thousand, one hundred sixty".