31743448128 has 336 divisors, whose sum is σ = 108971852160. Its totient is φ = 9061258752.

The previous prime is 31743448127. The next prime is 31743448129. The reversal of 31743448128 is 82184434713.

It is an interprime number because it is at equal distance from previous prime (31743448127) and next prime (31743448129).

It is a tau number, because it is divible by the number of its divisors (336).

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 (31743448127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29041950 + ... + 29043042.

Almost surely, 2^31743448128 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 31743448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54485926080).

31743448128 is an abundant number, since it is smaller than the sum of its proper divisors (77228404032).

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

31743448128 is an frugal number, since it uses more digits than its factorization.

31743448128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1105 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 31743448128 in words is "thirty-one billion, seven hundred forty-three million, four hundred forty-eight thousand, one hundred twenty-eight".