461646261033660 has 144 divisors (see below), whose sum is σ = 1434720089248992. Its totient is φ = 120083100211200.

The previous prime is 461646261033647. The next prime is 461646261033691. The reversal of 461646261033660 is 66330162646164.

461646261033660 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 4 + 626 + 1 + 0 + 3 + 3 + 6 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 461646261033597 and 461646261033606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39157912 + ... + 49564448.

It is an arithmetic number, because the mean of its divisors is an integer number (9963333953118).

Almost surely, 2^{461646261033660} 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 461646261033660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717360044624496).

461646261033660 is an abundant number, since it is smaller than the sum of its proper divisors (973073828215332).

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

461646261033660 is a wasteful number, since it uses less digits than its factorization.

461646261033660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10412604 (or 10412599 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 461646261033660 in words is "four hundred sixty-one trillion, six hundred forty-six billion, two hundred sixty-one million, thirty-three thousand, six hundred sixty".