461361617352 has 96 divisors (see below), whose sum is σ = 1293446232000. Its totient is φ = 148387908480.

The previous prime is 461361617351. The next prime is 461361617359. The reversal of 461361617352 is 253716163164.

461361617352 is a `hidden beast` number, since 4 + 6 + 13 + 616 + 17 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 461361617298 and 461361617307.

It is not an unprimeable number, because it can be changed into a prime (461361617351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3184327 + ... + 3326057.

It is an arithmetic number, because the mean of its divisors is an integer number (13473398250).

Almost surely, 2^461361617352 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 461361617352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646723116000).

461361617352 is an abundant number, since it is smaller than the sum of its proper divisors (832084614648).

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

461361617352 is a wasteful number, since it uses less digits than its factorization.

461361617352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143331 (or 143324 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 461361617352 in words is "four hundred sixty-one billion, three hundred sixty-one million, six hundred seventeen thousand, three hundred fifty-two".