460821575785131 has 48 divisors (see below), whose sum is σ = 763709834714112. Its totient is φ = 265177025755200.

The previous prime is 460821575785117. The next prime is 460821575785147. The reversal of 460821575785131 is 131587575128064.

460821575785131 is a `hidden beast` number, since 4 + 6 + 0 + 8 + 2 + 1 + 5 + 7 + 578 + 51 + 3 + 1 = 666.

It is not a de Polignac number, because 460821575785131 - 2⁷ = 460821575785003 is a prime.

It is a super-2 number, since 2×460821575785131² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460821575785031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1416381285 + ... + 1416706598.

It is an arithmetic number, because the mean of its divisors is an integer number (15910621556544).

Almost surely, 2^{460821575785131} is an apocalyptic number.

460821575785131 is a deficient number, since it is larger than the sum of its proper divisors (302888258928981).

460821575785131 is a wasteful number, since it uses less digits than its factorization.

460821575785131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833087984 (or 2833087981 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 460821575785131 in words is "four hundred sixty trillion, eight hundred twenty-one billion, five hundred seventy-five million, seven hundred eighty-five thousand, one hundred thirty-one".