461603334150 has 288 divisors, whose sum is σ = 1467629280000. Its totient is φ = 101772921600.

The previous prime is 461603334133. The next prime is 461603334191. The reversal of 461603334150 is 51433306164.

461603334150 is a `hidden beast` number, since 4 + 6 + 1 + 603 + 3 + 3 + 41 + 5 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 136931965 + ... + 136935335.

It is an arithmetic number, because the mean of its divisors is an integer number (5095935000).

Almost surely, 2^461603334150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461603334150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733814640000).

461603334150 is an abundant number, since it is smaller than the sum of its proper divisors (1006025945850).

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

461603334150 is a wasteful number, since it uses less digits than its factorization.

461603334150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 461603334150 in words is "four hundred sixty-one billion, six hundred three million, three hundred thirty-four thousand, one hundred fifty".