461641131123406 has 192 divisors, whose sum is σ = 846546320793600. Its totient is φ = 187526493093888.

The previous prime is 461641131123401. The next prime is 461641131123409. The reversal of 461641131123406 is 604321131146164.

It is a super-2 number, since 2×461641131123406² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461641131123401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4055866365 + ... + 4055980183.

It is an arithmetic number, because the mean of its divisors is an integer number (4409095420800).

Almost surely, 2^{461641131123406} is an apocalyptic number.

461641131123406 is a deficient number, since it is larger than the sum of its proper divisors (384905189670194).

461641131123406 is a wasteful number, since it uses less digits than its factorization.

461641131123406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114363 (or 114350 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 461641131123406 in words is "four hundred sixty-one trillion, six hundred forty-one billion, one hundred thirty-one million, one hundred twenty-three thousand, four hundred six".