31356463461344 has 192 divisors, whose sum is σ = 76959503308800. Its totient is φ = 12270857453568.

The previous prime is 31356463461341. The next prime is 31356463461359. The reversal of 31356463461344 is 44316436465313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31356463461341) 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, 70995497 + ... + 71435799.

It is an arithmetic number, because the mean of its divisors is an integer number (400830746400).

Almost surely, 2^{31356463461344} 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 31356463461344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38479751654400).

31356463461344 is an abundant number, since it is smaller than the sum of its proper divisors (45603039847456).

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

31356463461344 is a wasteful number, since it uses less digits than its factorization.

31356463461344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440945 (or 440937 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 53.

The spelling of 31356463461344 in words is "thirty-one trillion, three hundred fifty-six billion, four hundred sixty-three million, four hundred sixty-one thousand, three hundred forty-four".