460313382141 has 60 divisors (see below), whose sum is σ = 734171970708. Its totient is φ = 287355091968.

The previous prime is 460313382127. The next prime is 460313382227. The reversal of 460313382141 is 141283313064.

460313382141 is a `hidden beast` number, since 4 + 603 + 1 + 3 + 3 + 8 + 2 + 1 + 41 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 191397500100 + 268915882041 = 437490^2 + 518571^2 .

It is not a de Polignac number, because 460313382141 - 2²² = 460309187837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 460313382096 and 460313382105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460313382941) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4561665 + ... + 4661481.

Almost surely, 2^460313382141 is an apocalyptic number.

It is an amenable number.

460313382141 is a deficient number, since it is larger than the sum of its proper divisors (273858588567).

460313382141 is a wasteful number, since it uses less digits than its factorization.

460313382141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100060 (or 100034 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 460313382141 in words is "four hundred sixty billion, three hundred thirteen million, three hundred eighty-two thousand, one hundred forty-one".