164410864398399 has 8 divisors (see below), whose sum is σ = 219214554250032. Its totient is φ = 109607208739520.

The previous prime is 164410864398359. The next prime is 164410864398457. The reversal of 164410864398399 is 993893468014461.

It is a Cunningham number, because it is equal to 12822280²-1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164410864398399 - 2⁹ = 164410864397887 is a prime.

It is a super-3 number, since 3×164410864398399³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164410864398399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164410864398359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6411139 + ... + 19233419.

It is an arithmetic number, because the mean of its divisors is an integer number (27401819281254).

Almost surely, 2^{164410864398399} is an apocalyptic number.

164410864398399 is a deficient number, since it is larger than the sum of its proper divisors (54803689851633).

164410864398399 is a wasteful number, since it uses less digits than its factorization.

164410864398399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17096377.

The product of its (nonzero) digits is 967458816, while the sum is 75.

The spelling of 164410864398399 in words is "one hundred sixty-four trillion, four hundred ten billion, eight hundred sixty-four million, three hundred ninety-eight thousand, three hundred ninety-nine".