31144453453120 has 224 divisors, whose sum is σ = 86501464588800. Its totient is φ = 10676330864640.

The previous prime is 31144453453037. The next prime is 31144453453123. The reversal of 31144453453120 is 2135435444113.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31144453453123) 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 31 ways as a sum of consecutive naturals, for example, 781581037 + ... + 781620883.

Almost surely, 2^{31144453453120} 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 31144453453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43250732294400).

31144453453120 is an abundant number, since it is smaller than the sum of its proper divisors (55357011135680).

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

31144453453120 is an equidigital number, since it uses as much as digits as its factorization.

31144453453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47006 (or 46982 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 31144453453120 its reverse (2135435444113), we get a palindrome (33279888897233).

The spelling of 31144453453120 in words is "thirty-one trillion, one hundred forty-four billion, four hundred fifty-three million, four hundred fifty-three thousand, one hundred twenty".