461727818448 has 160 divisors (see below), whose sum is σ = 1333762967040. Its totient is φ = 136663511040.

The previous prime is 461727818441. The next prime is 461727818557. The reversal of 461727818448 is 844818727164.

It is a junction number, because it is equal to n+sod(n) for n = 461727818391 and 461727818400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461727818441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4856940 + ... + 4951092.

It is an arithmetic number, because the mean of its divisors is an integer number (8336018544).

Almost surely, 2^461727818448 is an apocalyptic number.

461727818448 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 461727818448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666881483520).

461727818448 is an abundant number, since it is smaller than the sum of its proper divisors (872035148592).

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

461727818448 is a wasteful number, since it uses less digits than its factorization.

461727818448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94477 (or 94471 counting only the distinct ones).

The product of its digits is 19267584, while the sum is 60.

The spelling of 461727818448 in words is "four hundred sixty-one billion, seven hundred twenty-seven million, eight hundred eighteen thousand, four hundred forty-eight".