31668000000 has 1008 divisors, whose sum is σ = 134135783040. Its totient is φ = 6451200000.

The previous prime is 31667999939. The next prime is 31668000011. The reversal of 31668000000 is 86613.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1091999986 + ... + 1092000014.

Almost surely, 2^31668000000 is an apocalyptic number.

31668000000 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 31668000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67067891520).

31668000000 is an abundant number, since it is smaller than the sum of its proper divisors (102467783040).

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

31668000000 is an frugal number, since it uses more digits than its factorization.

31668000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 31668000000 its reverse (86613), we get a palindrome (31668086613).

The spelling of 31668000000 in words is "thirty-one billion, six hundred sixty-eight million", and thus it is an aban number.