164048242752 has 42 divisors (see below), whose sum is σ = 470214669678. Its totient is φ = 54682747392.

The previous prime is 164048242723. The next prime is 164048242777. The reversal of 164048242752 is 257242840461.

164048242752 is a `hidden beast` number, since 1 + 64 + 0 + 482 + 42 + 75 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 163752952896 + 295289856 = 404664^2 + 17184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164048242698 and 164048242707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142402413 + ... + 142403564.

Almost surely, 2^164048242752 is an apocalyptic number.

164048242752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164048242752 is an abundant number, since it is smaller than the sum of its proper divisors (306166426926).

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

164048242752 is a wasteful number, since it uses less digits than its factorization.

164048242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284805995 (or 284805982 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 164048242752 in words is "one hundred sixty-four billion, forty-eight million, two hundred forty-two thousand, seven hundred fifty-two".