804531144768 has 224 divisors, whose sum is σ = 2355068362752. Its totient is φ = 240815308800.

The previous prime is 804531144737. The next prime is 804531144787. The reversal of 804531144768 is 867441135408.

It is a self number, because there is not a number n which added to its sum of digits gives 804531144768.

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, 36113473 + ... + 36135743.

It is an arithmetic number, because the mean of its divisors is an integer number (10513698048).

Almost surely, 2^804531144768 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 804531144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177534181376).

804531144768 is an abundant number, since it is smaller than the sum of its proper divisors (1550537217984).

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

804531144768 is a wasteful number, since it uses less digits than its factorization.

804531144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22693 (or 22683 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

It can be divided in two parts, 80453 and 1144768, that added together give a palindrome (1225221).

The spelling of 804531144768 in words is "eight hundred four billion, five hundred thirty-one million, one hundred forty-four thousand, seven hundred sixty-eight".