461561527512 has 96 divisors (see below), whose sum is σ = 1284354424080. Its totient is φ = 149655582720.

The previous prime is 461561527459. The next prime is 461561527529. The reversal of 461561527512 is 215725165164.

461561527512 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 615 + 27 + 5 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762843 + ... + 1226805.

Almost surely, 2^461561527512 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 461561527512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642177212040).

461561527512 is an abundant number, since it is smaller than the sum of its proper divisors (822792896568).

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

461561527512 is a wasteful number, since it uses less digits than its factorization.

461561527512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464353 (or 464346 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 461561527512 in words is "four hundred sixty-one billion, five hundred sixty-one million, five hundred twenty-seven thousand, five hundred twelve".