461047712000 has 144 divisors (see below), whose sum is σ = 1167998832000. Its totient is φ = 181292595200.

The previous prime is 461047711997. The next prime is 461047712017. The reversal of 461047712000 is 217740164.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1765901 + ... + 2010099.

It is an arithmetic number, because the mean of its divisors is an integer number (8111103000).

Almost surely, 2^461047712000 is an apocalyptic number.

461047712000 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 461047712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583999416000).

461047712000 is an abundant number, since it is smaller than the sum of its proper divisors (706951120000).

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

461047712000 is an equidigital number, since it uses as much as digits as its factorization.

461047712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244289 (or 244265 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 461047712000 in words is "four hundred sixty-one billion, forty-seven million, seven hundred twelve thousand".