8131288944 has 80 divisors (see below), whose sum is σ = 22140190080. Its totient is φ = 2564432640.

The previous prime is 8131288943. The next prime is 8131288981. The reversal of 8131288944 is 4498821318.

It is a happy number.

It is a super-2 number, since 2×8131288944² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8131288893 and 8131288902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8131288943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748834 + ... + 759614.

It is an arithmetic number, because the mean of its divisors is an integer number (276752376).

Almost surely, 2^8131288944 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 8131288944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070095040).

8131288944 is an abundant number, since it is smaller than the sum of its proper divisors (14008901136).

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

8131288944 is a wasteful number, since it uses less digits than its factorization.

8131288944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11638 (or 11632 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 8131288944 is about 90173.6599235054. The cubic root of 8131288944 is about 2010.8814351493.

The spelling of 8131288944 in words is "eight billion, one hundred thirty-one million, two hundred eighty-eight thousand, nine hundred forty-four".