461546193120 has 48 divisors (see below), whose sum is σ = 1453870509840. Its totient is φ = 123078984704.

The previous prime is 461546193109. The next prime is 461546193127. The reversal of 461546193120 is 21391645164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461546193127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480776805 + ... + 480777764.

It is an arithmetic number, because the mean of its divisors is an integer number (30288968955).

Almost surely, 2^461546193120 is an apocalyptic number.

461546193120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461546193120 is an abundant number, since it is smaller than the sum of its proper divisors (992324316720).

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

461546193120 is a wasteful number, since it uses less digits than its factorization.

461546193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961554587 (or 961554579 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 461546193120 in words is "four hundred sixty-one billion, five hundred forty-six million, one hundred ninety-three thousand, one hundred twenty".