31438734811344 has 240 divisors, whose sum is σ = 101235283598592. Its totient is φ = 8921795162112.

The previous prime is 31438734811343. The next prime is 31438734811361. The reversal of 31438734811344 is 44311843783413.

It is a happy number.

31438734811344 is a `hidden beast` number, since 3 + 1 + 43 + 8 + 73 + 481 + 13 + 44 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31438734811343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117622077 + ... + 117889059.

Almost surely, 2^{31438734811344} 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 31438734811344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50617641799296).

31438734811344 is an abundant number, since it is smaller than the sum of its proper divisors (69796548787248).

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

31438734811344 is a wasteful number, since it uses less digits than its factorization.

31438734811344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267794 (or 267785 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 31438734811344 in words is "thirty-one trillion, four hundred thirty-eight billion, seven hundred thirty-four million, eight hundred eleven thousand, three hundred forty-four".