461763367164 has 96 divisors (see below), whose sum is σ = 1308262771200. Its totient is φ = 139685575680.

The previous prime is 461763367081. The next prime is 461763367183.

461763367164 is a `hidden beast` number, since 4 + 61 + 7 + 63 + 367 + 164 = 666.

461763367164 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 461763367164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348657 + ... + 1022295.

It is an arithmetic number, because the mean of its divisors is an integer number (13627737200).

Almost surely, 2^461763367164 is an apocalyptic number.

461763367164 is a gapful number since it is divisible by the number (44) 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 461763367164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654131385600).

461763367164 is an abundant number, since it is smaller than the sum of its proper divisors (846499404036).

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

461763367164 is a wasteful number, since it uses less digits than its factorization.

461763367164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674240 (or 674232 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 461763367164 in words is "four hundred sixty-one billion, seven hundred sixty-three million, three hundred sixty-seven thousand, one hundred sixty-four".