1043193811968 has 1056 divisors, whose sum is σ = 4036356480000. Its totient is φ = 256535838720.

The previous prime is 1043193811963. The next prime is 1043193811969. The reversal of 1043193811968 is 8691183913401.

1043193811968 is a `hidden beast` number, since 1 + 0 + 431 + 9 + 38 + 119 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1043193811963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 660666603 + ... + 660668181.

Almost surely, 2^{1043193811968} is an apocalyptic number.

1043193811968 is a gapful number since it is divisible by the number (18) 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 1043193811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018178240000).

1043193811968 is an abundant number, since it is smaller than the sum of its proper divisors (2993162668032).

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

1043193811968 is a wasteful number, since it uses less digits than its factorization.

1043193811968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1043193811968 in words is "one trillion, forty-three billion, one hundred ninety-three million, eight hundred eleven thousand, nine hundred sixty-eight".