461085988608 has 864 divisors, whose sum is σ = 1656909176832. Its totient is φ = 120434688000.

The previous prime is 461085988603. The next prime is 461085988613. The reversal of 461085988608 is 806889580164.

461085988608 is a `hidden beast` number, since 4 + 6 + 10 + 8 + 5 + 9 + 8 + 8 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (461085988603) and next prime (461085988613).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461085988603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1161425466 + ... + 1161425862.

Almost surely, 2^461085988608 is an apocalyptic number.

461085988608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461085988608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828454588416).

461085988608 is an abundant number, since it is smaller than the sum of its proper divisors (1195823188224).

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

461085988608 is a wasteful number, since it uses less digits than its factorization.

461085988608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 461085988608 in words is "four hundred sixty-one billion, eighty-five million, nine hundred eighty-eight thousand, six hundred eight".