31944851712 has 288 divisors, whose sum is σ = 97484083200. Its totient is φ = 10313091072.

The previous prime is 31944851663. The next prime is 31944851717. The reversal of 31944851712 is 21715844913.

31944851712 is a `hidden beast` number, since 3 + 1 + 94 + 48 + 517 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (31944851717) 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 31 ways as a sum of consecutive naturals, for example, 34759989 + ... + 34760907.

It is an arithmetic number, because the mean of its divisors is an integer number (338486400).

Almost surely, 2^31944851712 is an apocalyptic number.

31944851712 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 31944851712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48742041600).

31944851712 is an abundant number, since it is smaller than the sum of its proper divisors (65539231488).

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

31944851712 is a wasteful number, since it uses less digits than its factorization.

31944851712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1078 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 31944851712 in words is "thirty-one billion, nine hundred forty-four million, eight hundred fifty-one thousand, seven hundred twelve".