461418471888 has 160 divisors (see below), whose sum is σ = 1320545098752. Its totient is φ = 137655936000.

The previous prime is 461418471887. The next prime is 461418471923. The reversal of 461418471888 is 888174814164.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461418471883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90241620 + ... + 90246732.

Almost surely, 2^461418471888 is an apocalyptic number.

461418471888 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 461418471888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660272549376).

461418471888 is an abundant number, since it is smaller than the sum of its proper divisors (859126626864).

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

461418471888 is a wasteful number, since it uses less digits than its factorization.

461418471888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7747 counting only the distinct ones).

The product of its digits is 11010048, while the sum is 60.

The spelling of 461418471888 in words is "four hundred sixty-one billion, four hundred eighteen million, four hundred seventy-one thousand, eight hundred eighty-eight".