31643229312 has 120 divisors (see below), whose sum is σ = 94223672235. Its totient is φ = 10541705472.

The previous prime is 31643229287. The next prime is 31643229313. The reversal of 31643229312 is 21392234613.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

31643229312 is a `hidden beast` number, since 3 + 1 + 643 + 2 + 2 + 9 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15821614656 + 15821614656 = 125784^2 + 125784^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=125784.

It is a super-3 number, since 3×31643229312³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (31643229313) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18112023 + ... + 18113769.

Almost surely, 2^31643229312 is an apocalyptic number.

31643229312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31643229312

31643229312 is an abundant number, since it is smaller than the sum of its proper divisors (62580442923).

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

31643229312 is an frugal number, since it uses more digits than its factorization.

31643229312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 1752 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

It can be divided in two parts, 316432 and 29312, that added together give a square (345744 = 588²).

The spelling of 31643229312 in words is "thirty-one billion, six hundred forty-three million, two hundred twenty-nine thousand, three hundred twelve".