164430343034461 has 64 divisors (see below), whose sum is σ = 195448998076416. Its totient is φ = 135435396096000.

The previous prime is 164430343034453. The next prime is 164430343034479.

It is a happy number.

164430343034461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164430343034461 - 2³ = 164430343034453 is a prime.

It is a super-3 number, since 3×164430343034461³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164430343034561) 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, 8479715076 + ... + 8479734466.

It is an arithmetic number, because the mean of its divisors is an integer number (3053890594944).

Almost surely, 2^{164430343034461} is an apocalyptic number.

It is an amenable number.

164430343034461 is a deficient number, since it is larger than the sum of its proper divisors (31018655041955).

164430343034461 is a wasteful number, since it uses less digits than its factorization.

164430343034461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21982.

The product of its (nonzero) digits is 2985984, while the sum is 46.

The spelling of 164430343034461 in words is "one hundred sixty-four trillion, four hundred thirty billion, three hundred forty-three million, thirty-four thousand, four hundred sixty-one".