164400473144 has 16 divisors (see below), whose sum is σ = 308320677720. Its totient is φ = 82181625760.

The previous prime is 164400473141. The next prime is 164400473179. The reversal of 164400473144 is 441374004461.

It is a happy number.

It is a super-3 number, since 3×164400473144³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164400473098 and 164400473107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164400473141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2288774 + ... + 2359509.

Almost surely, 2^164400473144 is an apocalyptic number.

It is an amenable number.

164400473144 is a deficient number, since it is larger than the sum of its proper divisors (143920204576).

164400473144 is a wasteful number, since it uses less digits than its factorization.

164400473144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652710 (or 4652706 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 164400473144 in words is "one hundred sixty-four billion, four hundred million, four hundred seventy-three thousand, one hundred forty-four".