31666306140 has 144 divisors (see below), whose sum is σ = 109852247232. Its totient is φ = 7233020928.

The previous prime is 31666306123. The next prime is 31666306141. The reversal of 31666306140 is 4160366613.

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

It is a junction number, because it is equal to n+sod(n) for n = 31666306095 and 31666306104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31666306141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2004352 + ... + 2020088.

It is an arithmetic number, because the mean of its divisors is an integer number (762862828).

Almost surely, 2^31666306140 is an apocalyptic number.

31666306140 is a gapful number since it is divisible by the number (30) 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 31666306140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54926123616).

31666306140 is an abundant number, since it is smaller than the sum of its proper divisors (78185941092).

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

31666306140 is a wasteful number, since it uses less digits than its factorization.

31666306140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17356 (or 17351 counting only the distinct ones).

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

The spelling of 31666306140 in words is "thirty-one billion, six hundred sixty-six million, three hundred six thousand, one hundred forty".