461161912320 has 864 divisors, whose sum is σ = 1705128122880. Its totient is φ = 115192627200.

The previous prime is 461161912301. The next prime is 461161912327. The reversal of 461161912320 is 23219161164.

It is a happy number.

461161912320 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 619 + 1 + 2 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461161912327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3631196097 + ... + 3631196223.

It is an arithmetic number, because the mean of its divisors is an integer number (1973527920).

Almost surely, 2^461161912320 is an apocalyptic number.

461161912320 is a gapful number since it is divisible by the number (40) 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 461161912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852564061440).

461161912320 is an abundant number, since it is smaller than the sum of its proper divisors (1243966210560).

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

461161912320 is a wasteful number, since it uses less digits than its factorization.

461161912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 461161912320 in words is "four hundred sixty-one billion, one hundred sixty-one million, nine hundred twelve thousand, three hundred twenty".