1004231105568 has 144 divisors (see below), whose sum is σ = 2872153019736. Its totient is φ = 332829204480.

The previous prime is 1004231105539. The next prime is 1004231105569. The reversal of 1004231105568 is 8655011324001.

1004231105568 is a `hidden beast` number, since 10 + 0 + 42 + 31 + 10 + 5 + 568 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 962620001424 + 41611104144 = 981132^2 + 203988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1004231105568² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1004231105569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45312346 + ... + 45334502.

Almost surely, 2^{1004231105568} is an apocalyptic number.

1004231105568 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 1004231105568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436076509868).

1004231105568 is an abundant number, since it is smaller than the sum of its proper divisors (1867921914168).

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

1004231105568 is a wasteful number, since it uses less digits than its factorization.

1004231105568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23067 (or 23056 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 1004231105568 its reverse (8655011324001), we get a palindrome (9659242429569).

The spelling of 1004231105568 in words is "one trillion, four billion, two hundred thirty-one million, one hundred five thousand, five hundred sixty-eight".