461571457270664 has 192 divisors, whose sum is σ = 1001575879920000. Its totient is φ = 198626738319360.

The previous prime is 461571457270543. The next prime is 461571457270697. The reversal of 461571457270664 is 466072754175164.

It is a self number, because there is not a number n which added to its sum of digits gives 461571457270664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1472635037 + ... + 1472948435.

It is an arithmetic number, because the mean of its divisors is an integer number (5216541041250).

Almost surely, 2^{461571457270664} 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 461571457270664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500787939960000).

461571457270664 is an abundant number, since it is smaller than the sum of its proper divisors (540004422649336).

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

461571457270664 is a wasteful number, since it uses less digits than its factorization.

461571457270664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314048 (or 314031 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 65.

The spelling of 461571457270664 in words is "four hundred sixty-one trillion, five hundred seventy-one billion, four hundred fifty-seven million, two hundred seventy thousand, six hundred sixty-four".