8131106088144 has 180 divisors, whose sum is σ = 24646814026380. Its totient is φ = 2501278341120.

The previous prime is 8131106088143. The next prime is 8131106088163. The reversal of 8131106088144 is 4418806011318.

8131106088144 is a `hidden beast` number, since 8 + 1 + 31 + 1 + 0 + 608 + 8 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4236845889600 + 3894260198544 = 2058360^2 + 1973388^2 .

It is a super-2 number, since 2×8131106088144² (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 8131106088144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8131106088143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107259534 + ... + 107335314.

It is an arithmetic number, because the mean of its divisors is an integer number (136926744591).

Almost surely, 2^{8131106088144} 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 8131106088144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12323407013190).

8131106088144 is an abundant number, since it is smaller than the sum of its proper divisors (16515707938236).

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

8131106088144 is a wasteful number, since it uses less digits than its factorization.

8131106088144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80230 (or 80208 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 8131106088144 in words is "eight trillion, one hundred thirty-one billion, one hundred six million, eighty-eight thousand, one hundred forty-four".