461491857648 has 160 divisors (see below), whose sum is σ = 1392801569280. Its totient is φ = 146018695680.

The previous prime is 461491857623. The next prime is 461491857661. The reversal of 461491857648 is 846758194164.

461491857648 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 9 + 18 + 576 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1124340 + ... + 1478892.

It is an arithmetic number, because the mean of its divisors is an integer number (8705009808).

Almost surely, 2^461491857648 is an apocalyptic number.

461491857648 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 461491857648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696400784640).

461491857648 is an abundant number, since it is smaller than the sum of its proper divisors (931309711632).

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

461491857648 is a wasteful number, since it uses less digits than its factorization.

461491857648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354724 (or 354712 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 461491857648 in words is "four hundred sixty-one billion, four hundred ninety-one million, eight hundred fifty-seven thousand, six hundred forty-eight".