31065048144 has 120 divisors (see below), whose sum is σ = 94255816200. Its totient is φ = 9494240256.

The previous prime is 31065048143. The next prime is 31065048149. The reversal of 31065048144 is 44184056013.

31065048144 is a `hidden beast` number, since 3 + 1 + 0 + 6 + 504 + 8 + 144 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2820884544 + 28244163600 = 53112^2 + 168060^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31065048099 and 31065048108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31065048143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223242 + ... + 334614.

It is an arithmetic number, because the mean of its divisors is an integer number (785465135).

Almost surely, 2^31065048144 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 31065048144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47127908100).

31065048144 is an abundant number, since it is smaller than the sum of its proper divisors (63190768056).

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

31065048144 is a wasteful number, since it uses less digits than its factorization.

31065048144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111549 (or 111540 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 31065048144 in words is "thirty-one billion, sixty-five million, forty-eight thousand, one hundred forty-four".