581107172646 has 576 divisors, whose sum is σ = 1729871458560. Its totient is φ = 127566835200.

The previous prime is 581107172641. The next prime is 581107172693. The reversal of 581107172646 is 646271701185.

581107172646 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×581107172646² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 581107172595 and 581107172604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581107172641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 767644500 + ... + 767645256.

It is an arithmetic number, because the mean of its divisors is an integer number (3003249060).

Almost surely, 2^581107172646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 581107172646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864935729280).

581107172646 is an abundant number, since it is smaller than the sum of its proper divisors (1148764285914).

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

581107172646 is a wasteful number, since it uses less digits than its factorization.

581107172646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 581107172646 in words is "five hundred eighty-one billion, one hundred seven million, one hundred seventy-two thousand, six hundred forty-six".