461551432608 has 576 divisors, whose sum is σ = 1599531373440. Its totient is φ = 129069158400.

The previous prime is 461551432571. The next prime is 461551432633. The reversal of 461551432608 is 806234155164.

461551432608 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 5 + 1 + 4 + 32 + 608 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 808320963 + ... + 808321533.

It is an arithmetic number, because the mean of its divisors is an integer number (2776964190).

Almost surely, 2^461551432608 is an apocalyptic number.

461551432608 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 461551432608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799765686720).

461551432608 is an abundant number, since it is smaller than the sum of its proper divisors (1137979940832).

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

461551432608 is a wasteful number, since it uses less digits than its factorization.

461551432608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 461551432608 in words is "four hundred sixty-one billion, five hundred fifty-one million, four hundred thirty-two thousand, six hundred eight".