164404130453199 has 160 divisors (see below), whose sum is σ = 320282195932160. Its totient is φ = 81610441920000.

The previous prime is 164404130453197. The next prime is 164404130453257. The reversal of 164404130453199 is 991354031404461.

164404130453199 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 0 + 4 + 13 + 0 + 4 + 531 + 99 = 666.

It is not a de Polignac number, because 164404130453199 - 2¹ = 164404130453197 is a prime.

It is a super-3 number, since 3×164404130453199³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164404130453197) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17260299 + ... + 25034499.

It is an arithmetic number, because the mean of its divisors is an integer number (2001763724576).

Almost surely, 2^{164404130453199} is an apocalyptic number.

164404130453199 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

164404130453199 is a deficient number, since it is larger than the sum of its proper divisors (155878065478961).

164404130453199 is a wasteful number, since it uses less digits than its factorization.

164404130453199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774403 (or 7774394 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 164404130453199 in words is "one hundred sixty-four trillion, four hundred four billion, one hundred thirty million, four hundred fifty-three thousand, one hundred ninety-nine".