461015686510164 has 48 divisors (see below), whose sum is σ = 1206396189028800. Its totient is φ = 152235709560288.

The previous prime is 461015686510103. The next prime is 461015686510187.

461015686510164 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 1 + 5 + 68 + 6 + 510 + 1 + 64 = 666.

461015686510164 is nontrivially palindromic in base 10.

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 461015686510164.

It is a congruent number.

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, 19947015379 + ... + 19947038490.

It is an arithmetic number, because the mean of its divisors is an integer number (25133253938100).

Almost surely, 2^{461015686510164} is an apocalyptic number.

It is an amenable number.

461015686510164 is an abundant number, since it is smaller than the sum of its proper divisors (745380502518636).

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

461015686510164 is a wasteful number, since it uses less digits than its factorization.

461015686510164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39894053989 (or 39894053981 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 461015686510164 in words is "four hundred sixty-one trillion, fifteen billion, six hundred eighty-six million, five hundred ten thousand, one hundred sixty-four".