31144300033344 has 224 divisors, whose sum is σ = 85191951470976. Its totient is φ = 10035066961920.

The previous prime is 31144300033313. The next prime is 31144300033349. The reversal of 31144300033344 is 44333000344113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31144300033349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436238419 + ... + 436309805.

It is an arithmetic number, because the mean of its divisors is an integer number (380321211924).

Almost surely, 2^{31144300033344} 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 31144300033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42595975735488).

31144300033344 is an abundant number, since it is smaller than the sum of its proper divisors (54047651437632).

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

31144300033344 is a wasteful number, since it uses less digits than its factorization.

31144300033344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71953 (or 71943 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 31144300033344 its reverse (44333000344113), we get a palindrome (75477300377457).

The spelling of 31144300033344 in words is "thirty-one trillion, one hundred forty-four billion, three hundred million, thirty-three thousand, three hundred forty-four".