461457015652233 has 48 divisors (see below), whose sum is σ = 679239911894544. Its totient is φ = 301807872737280.

The previous prime is 461457015652231. The next prime is 461457015652247. The reversal of 461457015652233 is 332256510754164.

461457015652233 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 5 + 70 + 1 + 565 + 2 + 2 + 3 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27746735345289 + 433710280306944 = 5267517^2 + 20825712^2 .

It is not a de Polignac number, because 461457015652233 - 2¹ = 461457015652231 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 461457015652233.

It is not an unprimeable number, because it can be changed into a prime (461457015652231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355185385 + ... + 356482217.

It is an arithmetic number, because the mean of its divisors is an integer number (14150831497803).

Almost surely, 2^{461457015652233} is an apocalyptic number.

It is an amenable number.

461457015652233 is a deficient number, since it is larger than the sum of its proper divisors (217782896242311).

461457015652233 is a wasteful number, since it uses less digits than its factorization.

461457015652233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298586 (or 1298583 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 461457015652233 in words is "four hundred sixty-one trillion, four hundred fifty-seven billion, fifteen million, six hundred fifty-two thousand, two hundred thirty-three".