461217551319 has 48 divisors (see below), whose sum is σ = 764608762944. Its totient is φ = 262434816000.

The previous prime is 461217551317. The next prime is 461217551339. The reversal of 461217551319 is 913155712164.

461217551319 is a `hidden beast` number, since 4 + 6 + 121 + 7 + 5 + 513 + 1 + 9 = 666.

It is not a de Polignac number, because 461217551319 - 2¹ = 461217551317 is a prime.

It is a super-2 number, since 2×461217551319² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461217551317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28334367 + ... + 28350639.

It is an arithmetic number, because the mean of its divisors is an integer number (15929349228).

Almost surely, 2^461217551319 is an apocalyptic number.

461217551319 is a deficient number, since it is larger than the sum of its proper divisors (303391211625).

461217551319 is a wasteful number, since it uses less digits than its factorization.

461217551319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18168 (or 18165 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The spelling of 461217551319 in words is "four hundred sixty-one billion, two hundred seventeen million, five hundred fifty-one thousand, three hundred nineteen".