164412631456431 has 32 divisors (see below), whose sum is σ = 233521829462016. Its totient is φ = 102536062272000.

The previous prime is 164412631456421. The next prime is 164412631456441. The reversal of 164412631456431 is 134654136214461.

It is an interprime number because it is at equal distance from previous prime (164412631456421) and next prime (164412631456441).

It is not a de Polignac number, because 164412631456431 - 2³⁴ = 164395451587247 is a prime.

It is a super-3 number, since 3×164412631456431³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164412631456421) 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, 8309455 + ... + 19946736.

It is an arithmetic number, because the mean of its divisors is an integer number (7297557170688).

Almost surely, 2^{164412631456431} is an apocalyptic number.

164412631456431 is a deficient number, since it is larger than the sum of its proper divisors (69109198005585).

164412631456431 is a wasteful number, since it uses less digits than its factorization.

164412631456431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28256903.

The product of its digits is 4976640, while the sum is 51.

The spelling of 164412631456431 in words is "one hundred sixty-four trillion, four hundred twelve billion, six hundred thirty-one million, four hundred fifty-six thousand, four hundred thirty-one".