31806802621504 has 49 divisors (see below), whose sum is σ = 63833858315137. Its totient is φ = 15724711408384.

The previous prime is 31806802621463. The next prime is 31806802621507. The reversal of 31806802621504 is 40512620860813.

The square root of 31806802621504 is 5639752.

The cubic root of 31806802621504 is 31684.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 30424579159104 + 1382223462400 = 5515848^2 + 1175680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31806802621507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 357379804692 + ... + 357379804780.

Almost surely, 2^{31806802621504} is an apocalyptic number.

31806802621504 is the 5639752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31806802621504

31806802621504 is an abundant number, since it is smaller than the sum of its proper divisors (32027055693633).

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

31806802621504 is an frugal number, since it uses more digits than its factorization.

31806802621504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 31806802621504 in words is "thirty-one trillion, eight hundred six billion, eight hundred two million, six hundred twenty-one thousand, five hundred four".