461109550608 has 480 divisors, whose sum is σ = 1574676892800. Its totient is φ = 128774209536.

The previous prime is 461109550607. The next prime is 461109550673. The reversal of 461109550608 is 806055901164.

461109550608 is a `hidden beast` number, since 46 + 1 + 10 + 95 + 506 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (461109550607) 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, 241039060 + ... + 241040972.

It is an arithmetic number, because the mean of its divisors is an integer number (3280576860).

Almost surely, 2^461109550608 is an apocalyptic number.

461109550608 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 461109550608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787338446400).

461109550608 is an abundant number, since it is smaller than the sum of its proper divisors (1113567342192).

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

461109550608 is a wasteful number, since it uses less digits than its factorization.

461109550608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 461109550608 in words is "four hundred sixty-one billion, one hundred nine million, five hundred fifty thousand, six hundred eight".