2114624000164 has 24 divisors (see below), whose sum is σ = 3985309714680. Its totient is φ = 975966399744.

The previous prime is 2114624000087. The next prime is 2114624000179. The reversal of 2114624000164 is 4610004264112.

It can be written as a sum of positive squares in 4 ways, for example, as 869011755264 + 1245612244900 = 932208^2 + 1116070^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3998922 + ... + 4496734.

It is an arithmetic number, because the mean of its divisors is an integer number (166054571445).

Almost surely, 2^{2114624000164} is an apocalyptic number.

It is an amenable number.

2114624000164 is a deficient number, since it is larger than the sum of its proper divisors (1870685714516).

2114624000164 is a wasteful number, since it uses less digits than its factorization.

2114624000164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579519 (or 579517 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 2114624000164 its reverse (4610004264112), we get a palindrome (6724628264276).

The spelling of 2114624000164 in words is "two trillion, one hundred fourteen billion, six hundred twenty-four million, one hundred sixty-four", and thus it is an aban number.