164409864093280 has 96 divisors (see below), whose sum is σ = 418496883789600. Its totient is φ = 60676119539712.

The previous prime is 164409864093263. The next prime is 164409864093301. The reversal of 164409864093280 is 82390468904461.

It is a super-3 number, since 3×164409864093280³ (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14573790 + ... + 23264029.

It is an arithmetic number, because the mean of its divisors is an integer number (4359342539475).

Almost surely, 2^{164409864093280} is an apocalyptic number.

164409864093280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164409864093280 is an abundant number, since it is smaller than the sum of its proper divisors (254087019696320).

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

164409864093280 is a wasteful number, since it uses less digits than its factorization.

164409864093280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37839936 (or 37839928 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 64.

The spelling of 164409864093280 in words is "one hundred sixty-four trillion, four hundred nine billion, eight hundred sixty-four million, ninety-three thousand, two hundred eighty".