461010607164 has 96 divisors (see below), whose sum is σ = 1201199650560. Its totient is φ = 152901279936.

The previous prime is 461010607159. The next prime is 461010607171. The reversal of 461010607164 is 461706010164.

It is a happy number.

461010607164 is a `hidden beast` number, since 46 + 1 + 0 + 1 + 0 + 607 + 1 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 49689294 + ... + 49698570.

It is an arithmetic number, because the mean of its divisors is an integer number (12512496360).

Almost surely, 2^461010607164 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 461010607164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600599825280).

461010607164 is an abundant number, since it is smaller than the sum of its proper divisors (740189043396).

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

461010607164 is a wasteful number, since it uses less digits than its factorization.

461010607164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544 (or 11536 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 461010607164 in words is "four hundred sixty-one billion, ten million, six hundred seven thousand, one hundred sixty-four".