31344122432 has 84 divisors (see below), whose sum is σ = 74848509180. Its totient is φ = 12969944064.

The previous prime is 31344122399. The next prime is 31344122449. The reversal of 31344122432 is 23422144313.

It can be written as a sum of positive squares in 2 ways, for example, as 23819600896 + 7524521536 = 154336^2 + 86744^2 .

It is a super-2 number, since 2×31344122432² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 31344122395 and 31344122404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81383 + ... + 263270.

Almost surely, 2^31344122432 is an apocalyptic number.

31344122432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31344122432 is an abundant number, since it is smaller than the sum of its proper divisors (43504386748).

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

31344122432 is a wasteful number, since it uses less digits than its factorization.

31344122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344708 (or 344691 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

Adding to 31344122432 its reverse (23422144313), we get a palindrome (54766266745).

The spelling of 31344122432 in words is "thirty-one billion, three hundred forty-four million, one hundred twenty-two thousand, four hundred thirty-two".