431161163125056 has 672 divisors, whose sum is σ = 1550163580213248. Its totient is φ = 111556257730560.

The previous prime is 431161163125009. The next prime is 431161163125081. The reversal of 431161163125056 is 650521361161134.

431161163125056 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 6 + 1 + 1 + 631 + 2 + 5 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×431161163125056² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 577303551 + ... + 578049921.

It is an arithmetic number, because the mean of its divisors is an integer number (2306791041984).

Almost surely, 2^{431161163125056} 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 431161163125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775081790106624).

431161163125056 is an abundant number, since it is smaller than the sum of its proper divisors (1119002417088192).

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

431161163125056 is a wasteful number, since it uses less digits than its factorization.

431161163125056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746619 (or 746606 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 431161163125056 in words is "four hundred thirty-one trillion, one hundred sixty-one billion, one hundred sixty-three million, one hundred twenty-five thousand, fifty-six".