461731417632 has 240 divisors, whose sum is σ = 1384243372512. Its totient is φ = 150949370880.

The previous prime is 461731417601. The next prime is 461731417669. The reversal of 461731417632 is 236714137164.

461731417632 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 3 + 1 + 4 + 1 + 7 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40458007 + ... + 40469417.

Almost surely, 2^461731417632 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 461731417632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692121686256).

461731417632 is an abundant number, since it is smaller than the sum of its proper divisors (922511954880).

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

461731417632 is a wasteful number, since it uses less digits than its factorization.

461731417632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11733 (or 11716 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 461731417632 in words is "four hundred sixty-one billion, seven hundred thirty-one million, four hundred seventeen thousand, six hundred thirty-two".