164405601545200 has 60 divisors (see below), whose sum is σ = 412157695027248. Its totient is φ = 62903012761600.

The previous prime is 164405601545191. The next prime is 164405601545219. The reversal of 164405601545200 is 2545106504461.

It is a super-3 number, since 3×164405601545200³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8935077841 + ... + 8935096240.

Almost surely, 2^{164405601545200} is an apocalyptic number.

164405601545200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164405601545200 is an abundant number, since it is smaller than the sum of its proper divisors (247752093482048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164405601545200 is a wasteful number, since it uses less digits than its factorization.

164405601545200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17870174122 (or 17870174111 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 164405601545200 in words is "one hundred sixty-four trillion, four hundred five billion, six hundred one million, five hundred forty-five thousand, two hundred".