164412634110463 has 32 divisors (see below), whose sum is σ = 166632227041280. Its totient is φ = 162206687998080.

The previous prime is 164412634110457. The next prime is 164412634110479. The reversal of 164412634110463 is 364011436214461.

It is a cyclic number.

It is not a de Polignac number, because 164412634110463 - 2³⁷ = 164275195156991 is a prime.

It is a super-3 number, since 3×164412634110463³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164412634110563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91901974573 + ... + 91901976361.

It is an arithmetic number, because the mean of its divisors is an integer number (5207257095040).

Almost surely, 2^{164412634110463} is an apocalyptic number.

164412634110463 is a deficient number, since it is larger than the sum of its proper divisors (2219592930817).

164412634110463 is a wasteful number, since it uses less digits than its factorization.

164412634110463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847.

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 164412634110463 in words is "one hundred sixty-four trillion, four hundred twelve billion, six hundred thirty-four million, one hundred ten thousand, four hundred sixty-three".