31161331344 has 360 divisors, whose sum is σ = 97784366400. Its totient is φ = 8537717760.

The previous prime is 31161331309. The next prime is 31161331367. The reversal of 31161331344 is 44313316113.

It is a super-2 number, since 2×31161331344² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52021957 + ... + 52022555.

It is an arithmetic number, because the mean of its divisors is an integer number (271623240).

Almost surely, 2^31161331344 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 31161331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48892183200).

31161331344 is an abundant number, since it is smaller than the sum of its proper divisors (66623035056).

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

31161331344 is a wasteful number, since it uses less digits than its factorization.

31161331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 681 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 31161331344 its reverse (44313316113), we get a palindrome (75474647457).

The spelling of 31161331344 in words is "thirty-one billion, one hundred sixty-one million, three hundred thirty-one thousand, three hundred forty-four".