581161640312304 has 280 divisors, whose sum is σ = 1734529050928512. Its totient is φ = 188411747811840.

The previous prime is 581161640312269. The next prime is 581161640312347. The reversal of 581161640312304 is 403213046161185.

It is a happy number.

581161640312304 is a `hidden beast` number, since 5 + 8 + 1 + 1 + 6 + 1 + 6 + 403 + 1 + 230 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 581161640312304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1117932822 + ... + 1118452554.

Almost surely, 2^{581161640312304} is an apocalyptic number.

581161640312304 is a gapful number since it is divisible by the number (54) 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 581161640312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867264525464256).

581161640312304 is an abundant number, since it is smaller than the sum of its proper divisors (1153367410616208).

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

581161640312304 is a wasteful number, since it uses less digits than its factorization.

581161640312304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522387 (or 522366 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 581161640312304 its reverse (403213046161185), we get a palindrome (984374686473489).

The spelling of 581161640312304 in words is "five hundred eighty-one trillion, one hundred sixty-one billion, six hundred forty million, three hundred twelve thousand, three hundred four".