1032317183968 has 72 divisors (see below), whose sum is σ = 2365232661792. Its totient is φ = 442226663424.

The previous prime is 1032317183831. The next prime is 1032317183969. The reversal of 1032317183968 is 8693817132301.

1032317183968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032317183969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3442080 + ... + 3729952.

It is an arithmetic number, because the mean of its divisors is an integer number (32850453636).

Almost surely, 2^{1032317183968} 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 1032317183968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182616330896).

1032317183968 is an abundant number, since it is smaller than the sum of its proper divisors (1332915477824).

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

1032317183968 is a wasteful number, since it uses less digits than its factorization.

1032317183968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290184 (or 290169 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 1032317183968 in words is "one trillion, thirty-two billion, three hundred seventeen million, one hundred eighty-three thousand, nine hundred sixty-eight".