31667389797312 has 336 divisors, whose sum is σ = 101298215528640. Its totient is φ = 9411294756864.

The previous prime is 31667389797221. The next prime is 31667389797347. The reversal of 31667389797312 is 21379798376613.

It is a happy number.

31667389797312 is a `hidden beast` number, since 3 + 166 + 7 + 3 + 89 + 79 + 7 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13998253 + ... + 16102355.

Almost surely, 2^{31667389797312} is an apocalyptic number.

31667389797312 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 31667389797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50649107764320).

31667389797312 is an abundant number, since it is smaller than the sum of its proper divisors (69630825731328).

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

31667389797312 is a wasteful number, since it uses less digits than its factorization.

31667389797312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104220 (or 2104207 counting only the distinct ones).

The product of its digits is 432081216, while the sum is 72.

The spelling of 31667389797312 in words is "thirty-one trillion, six hundred sixty-seven billion, three hundred eighty-nine million, seven hundred ninety-seven thousand, three hundred twelve".