31807968192 has 1344 divisors, whose sum is σ = 133095674880. Its totient is φ = 7315660800.

The previous prime is 31807968173. The next prime is 31807968193. The reversal of 31807968192 is 29186970813.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31807968193) 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 191 ways as a sum of consecutive naturals, for example, 447999517 + ... + 447999587.

It is an arithmetic number, because the mean of its divisors is an integer number (99029520).

Almost surely, 2^31807968192 is an apocalyptic number.

31807968192 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 31807968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66547837440).

31807968192 is an abundant number, since it is smaller than the sum of its proper divisors (101287706688).

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

31807968192 is a wasteful number, since it uses less digits than its factorization.

31807968192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

It can be divided in two parts, 31807 and 968192, that added together give a palindrome (999999).

The spelling of 31807968192 in words is "thirty-one billion, eight hundred seven million, nine hundred sixty-eight thousand, one hundred ninety-two".