31354461664344 has 192 divisors, whose sum is σ = 104542124144640. Its totient is φ = 8267152377600.

The previous prime is 31354461664289. The next prime is 31354461664363. The reversal of 31354461664344 is 44346616445313.

31354461664344 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 4 + 46 + 166 + 434 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24583569 + ... + 25827519.

It is an arithmetic number, because the mean of its divisors is an integer number (544490229920).

Almost surely, 2^{31354461664344} 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 31354461664344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52271062072320).

31354461664344 is an abundant number, since it is smaller than the sum of its proper divisors (73187662480296).

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

31354461664344 is a wasteful number, since it uses less digits than its factorization.

31354461664344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247830 (or 1247823 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 54.

The spelling of 31354461664344 in words is "thirty-one trillion, three hundred fifty-four billion, four hundred sixty-one million, six hundred sixty-four thousand, three hundred forty-four".