1933638387968 has 288 divisors, whose sum is σ = 4825108915200. Its totient is φ = 754587574272.

The previous prime is 1933638387913. The next prime is 1933638387973. The reversal of 1933638387968 is 8697838363391.

It is a junction number, because it is equal to n+sod(n) for n = 1933638387895 and 1933638387904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224133671 + ... + 224142297.

It is an arithmetic number, because the mean of its divisors is an integer number (16753850400).

Almost surely, 2^{1933638387968} 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 1933638387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412554457600).

1933638387968 is an abundant number, since it is smaller than the sum of its proper divisors (2891470527232).

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

1933638387968 is a wasteful number, since it uses less digits than its factorization.

1933638387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8925 (or 8911 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 74.

The spelling of 1933638387968 in words is "one trillion, nine hundred thirty-three billion, six hundred thirty-eight million, three hundred eighty-seven thousand, nine hundred sixty-eight".