31779241312 has 576 divisors, whose sum is σ = 90844830720. Its totient is φ = 10627448832.

The previous prime is 31779241267. The next prime is 31779241313. The reversal of 31779241312 is 21314297713.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31779241313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281232168 + ... + 281232280.

It is an arithmetic number, because the mean of its divisors is an integer number (157716720).

Almost surely, 2^31779241312 is an apocalyptic number.

31779241312 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 31779241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45422415360).

31779241312 is an abundant number, since it is smaller than the sum of its proper divisors (59065589408).

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

31779241312 is a wasteful number, since it uses less digits than its factorization.

31779241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The spelling of 31779241312 in words is "thirty-one billion, seven hundred seventy-nine million, two hundred forty-one thousand, three hundred twelve".