461002181200164 has 72 divisors (see below), whose sum is σ = 1193072766133248. Its totient is φ = 150022817452800.

The previous prime is 461002181200159. The next prime is 461002181200177.

461002181200164 is a `hidden beast` number, since 4 + 610 + 0 + 2 + 1 + 8 + 1 + 20 + 0 + 16 + 4 = 666.

461002181200164 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×461002181200164² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339047092 + ... + 340404075.

It is an arithmetic number, because the mean of its divisors is an integer number (16570455085184).

Almost surely, 2^{461002181200164} is an apocalyptic number.

It is an amenable number.

461002181200164 is an abundant number, since it is smaller than the sum of its proper divisors (732070584933084).

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

461002181200164 is a wasteful number, since it uses less digits than its factorization.

461002181200164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679451625 (or 679451620 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 461002181200164 in words is "four hundred sixty-one trillion, two billion, one hundred eighty-one million, two hundred thousand, one hundred sixty-four".