31441545105012 has 192 divisors, whose sum is σ = 98658463680000. Its totient is φ = 8453298806784.

The previous prime is 31441545105011. The next prime is 31441545105049. The reversal of 31441545105012 is 21050154514413.

31441545105012 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 1 + 545 + 105 + 0 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31441545105011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 69806064 + ... + 70255032.

It is an arithmetic number, because the mean of its divisors is an integer number (513846165000).

Almost surely, 2^{31441545105012} 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 31441545105012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49329231840000).

31441545105012 is an abundant number, since it is smaller than the sum of its proper divisors (67216918574988).

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

31441545105012 is a wasteful number, since it uses less digits than its factorization.

31441545105012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454455 (or 454447 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 31441545105012 its reverse (21050154514413), we get a palindrome (52491699619425).

The spelling of 31441545105012 in words is "thirty-one trillion, four hundred forty-one billion, five hundred forty-five million, one hundred five thousand, twelve".