164024255861424 has 200 divisors, whose sum is σ = 546824969596928. Its totient is φ = 46495064327040.

The previous prime is 164024255861383. The next prime is 164024255861449. The reversal of 164024255861424 is 424168552420461.

164024255861424 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 2 + 4 + 2 + 558 + 61 + 4 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70030042 + ... + 72334329.

Almost surely, 2^{164024255861424} is an apocalyptic number.

164024255861424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164024255861424 is an abundant number, since it is smaller than the sum of its proper divisors (382800713735504).

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

164024255861424 is a wasteful number, since it uses less digits than its factorization.

164024255861424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142364525 (or 142364510 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 164024255861424 in words is "one hundred sixty-four trillion, twenty-four billion, two hundred fifty-five million, eight hundred sixty-one thousand, four hundred twenty-four".