164412312015641 has 2 divisors, whose sum is σ = 164412312015642. Its totient is φ = 164412312015640.

The previous prime is 164412312015631. The next prime is 164412312015643. The reversal of 164412312015641 is 146510213214461.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128625176420416 + 35787135595225 = 11341304^2 + 5982235^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164412312015641 is a prime.

It is a super-3 number, since 3×164412312015641³ (a number of 44 digits) contains 333 as substring.

Together with 164412312015643, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (164412312015643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82206156007820 + 82206156007821.

It is an arithmetic number, because the mean of its divisors is an integer number (82206156007821).

Almost surely, 2^{164412312015641} is an apocalyptic number.

It is an amenable number.

164412312015641 is a deficient number, since it is larger than the sum of its proper divisors (1).

164412312015641 is an equidigital number, since it uses as much as digits as its factorization.

164412312015641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 164412312015641 in words is "one hundred sixty-four trillion, four hundred twelve billion, three hundred twelve million, fifteen thousand, six hundred forty-one".