31811449984 has 64 divisors (see below), whose sum is σ = 64987294680. Its totient is φ = 15501721600.

The previous prime is 31811449973. The next prime is 31811449991. The reversal of 31811449984 is 48994411813.

It can be written as a sum of positive squares in 4 ways, for example, as 13195576384 + 18615873600 = 114872^2 + 136440^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6258324 + ... + 6263404.

Almost surely, 2^31811449984 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 31811449984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32493647340).

31811449984 is an abundant number, since it is smaller than the sum of its proper divisors (33175844696).

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

31811449984 is a wasteful number, since it uses less digits than its factorization.

31811449984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329 (or 6317 counting only the distinct ones).

The product of its digits is 995328, while the sum is 52.

The spelling of 31811449984 in words is "thirty-one billion, eight hundred eleven million, four hundred forty-nine thousand, nine hundred eighty-four".