461129410162176 has 1440 divisors, whose sum is σ = 1560837761239680. Its totient is φ = 120287021137920.

The previous prime is 461129410162129. The next prime is 461129410162229. The reversal of 461129410162176 is 671261014921164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 421893329886 + ... + 421893330978.

It is an arithmetic number, because the mean of its divisors is an integer number (1083915111972).

Almost surely, 2^{461129410162176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461129410162176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780418880619840).

461129410162176 is an abundant number, since it is smaller than the sum of its proper divisors (1099708351077504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461129410162176 is a wasteful number, since it uses less digits than its factorization.

461129410162176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 461129410162176 in words is "four hundred sixty-one trillion, one hundred twenty-nine billion, four hundred ten million, one hundred sixty-two thousand, one hundred seventy-six".