461714304260664 has 256 divisors, whose sum is σ = 1578928401792000. Its totient is φ = 121738562910720.

The previous prime is 461714304260647. The next prime is 461714304260669. The reversal of 461714304260664 is 466062403417164.

461714304260664 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 14 + 304 + 260 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 461714304260664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461714304260669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71172094 + ... + 77387954.

It is an arithmetic number, because the mean of its divisors is an integer number (6167689069500).

Almost surely, 2^{461714304260664} 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 461714304260664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789464200896000).

461714304260664 is an abundant number, since it is smaller than the sum of its proper divisors (1117214097531336).

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

461714304260664 is a wasteful number, since it uses less digits than its factorization.

461714304260664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6219675 (or 6219665 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 461714304260664 in words is "four hundred sixty-one trillion, seven hundred fourteen billion, three hundred four million, two hundred sixty thousand, six hundred sixty-four".