461814628608 has 180 divisors, whose sum is σ = 1436920782528. Its totient is φ = 147245091840.

The previous prime is 461814628553. The next prime is 461814628609. The reversal of 461814628608 is 806826418164.

It is a happy number.

461814628608 is a `hidden beast` number, since 4 + 6 + 1 + 8 + 1 + 4 + 6 + 28 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (461814628609) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7228 + ... + 961083.

Almost surely, 2^461814628608 is an apocalyptic number.

461814628608 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 461814628608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718460391264).

461814628608 is an abundant number, since it is smaller than the sum of its proper divisors (975106153920).

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

461814628608 is an equidigital number, since it uses as much as digits as its factorization.

461814628608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968362 (or 968339 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 461814628608 in words is "four hundred sixty-one billion, eight hundred fourteen million, six hundred twenty-eight thousand, six hundred eight".