461911197696 has 384 divisors, whose sum is σ = 1428667269120. Its totient is φ = 131545497600.

The previous prime is 461911197677. The next prime is 461911197733. The reversal of 461911197696 is 696791119164.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56944681 + ... + 56952791.

It is an arithmetic number, because the mean of its divisors is an integer number (3720487680).

Almost surely, 2^461911197696 is an apocalyptic number.

461911197696 is a gapful number since it is divisible by the number (46) 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 461911197696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714333634560).

461911197696 is an abundant number, since it is smaller than the sum of its proper divisors (966756071424).

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

461911197696 is a wasteful number, since it uses less digits than its factorization.

461911197696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8203 (or 8183 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 60.

The spelling of 461911197696 in words is "four hundred sixty-one billion, nine hundred eleven million, one hundred ninety-seven thousand, six hundred ninety-six".