164807353854917 has 16 divisors (see below), whose sum is σ = 169315963307568. Its totient is φ = 160322211102720.

The previous prime is 164807353854901. The next prime is 164807353855021. The reversal of 164807353854917 is 719458353708461.

164807353854917 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8945088015556 + 155862265839361 = 2990834^2 + 12484481^2 .

It is a cyclic number.

It is not a de Polignac number, because 164807353854917 - 2⁴ = 164807353854901 is a prime.

It is a super-2 number, since 2×164807353854917² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164807353854217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70311113 + ... + 72617265.

It is an arithmetic number, because the mean of its divisors is an integer number (10582247706723).

Almost surely, 2^{164807353854917} is an apocalyptic number.

It is an amenable number.

164807353854917 is a deficient number, since it is larger than the sum of its proper divisors (4508609452651).

164807353854917 is a wasteful number, since it uses less digits than its factorization.

164807353854917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311240.

The product of its (nonzero) digits is 609638400, while the sum is 71.

The spelling of 164807353854917 in words is "one hundred sixty-four trillion, eight hundred seven billion, three hundred fifty-three million, eight hundred fifty-four thousand, nine hundred seventeen".