1933468347328 has 112 divisors (see below), whose sum is σ = 4535510611968. Its totient is φ = 800263296000.

The previous prime is 1933468347299. The next prime is 1933468347413. The reversal of 1933468347328 is 8237438643391.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 6677238 + ... + 6960778.

It is an arithmetic number, because the mean of its divisors is an integer number (40495630464).

Almost surely, 2^{1933468347328} 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 1933468347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267755305984).

1933468347328 is an abundant number, since it is smaller than the sum of its proper divisors (2602042264640).

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

1933468347328 is a wasteful number, since it uses less digits than its factorization.

1933468347328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284082 (or 284072 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 61.

The spelling of 1933468347328 in words is "one trillion, nine hundred thirty-three billion, four hundred sixty-eight million, three hundred forty-seven thousand, three hundred twenty-eight".