31661924112 has 480 divisors, whose sum is σ = 114273519360. Its totient is φ = 8263710720.

The previous prime is 31661924111. The next prime is 31661924137. The reversal of 31661924112 is 21142916613.

It is a happy number.

31661924112 is a `hidden beast` number, since 3 + 1 + 6 + 619 + 24 + 1 + 12 = 666.

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 (31661924111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38564662 + ... + 38565482.

It is an arithmetic number, because the mean of its divisors is an integer number (238069832).

Almost surely, 2^31661924112 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 31661924112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57136759680).

31661924112 is an abundant number, since it is smaller than the sum of its proper divisors (82611595248).

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

31661924112 is a wasteful number, since it uses less digits than its factorization.

31661924112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 955 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 31661924112 in words is "thirty-one billion, six hundred sixty-one million, nine hundred twenty-four thousand, one hundred twelve".