460562661216 has 864 divisors, whose sum is σ = 1720922112000. Its totient is φ = 115754655744.

The previous prime is 460562661211. The next prime is 460562661217. The reversal of 460562661216 is 612166265064.

460562661216 is a `hidden beast` number, since 4 + 6 + 0 + 5 + 6 + 26 + 612 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460562661211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 360095265 + ... + 360096543.

It is an arithmetic number, because the mean of its divisors is an integer number (1991808000).

Almost surely, 2^460562661216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460562661216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860461056000).

460562661216 is an abundant number, since it is smaller than the sum of its proper divisors (1260359450784).

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

460562661216 is a wasteful number, since it uses less digits than its factorization.

460562661216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 460562661216 in words is "four hundred sixty billion, five hundred sixty-two million, six hundred sixty-one thousand, two hundred sixteen".