1931968233888 has 768 divisors, whose sum is σ = 6711596236800. Its totient is φ = 471959470080.

The previous prime is 1931968233869. The next prime is 1931968233889. The reversal of 1931968233888 is 8883328691391.

It is a happy number.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1931968233889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3395374468 + ... + 3395375036.

It is an arithmetic number, because the mean of its divisors is an integer number (8739057600).

Almost surely, 2^{1931968233888} 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 1931968233888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355798118400).

1931968233888 is an abundant number, since it is smaller than the sum of its proper divisors (4779628002912).

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

1931968233888 is a wasteful number, since it uses less digits than its factorization.

1931968233888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1005 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 69.

The spelling of 1931968233888 in words is "one trillion, nine hundred thirty-one billion, nine hundred sixty-eight million, two hundred thirty-three thousand, eight hundred eighty-eight".