4164224112504 has 48 divisors (see below), whose sum is σ = 11518066703520. Its totient is φ = 1358541198720.

The previous prime is 4164224112497. The next prime is 4164224112539. The reversal of 4164224112504 is 4052114224614.

4164224112504 is a `hidden beast` number, since 4 + 1 + 642 + 2 + 4 + 1 + 1 + 2 + 5 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 615277957 + ... + 615284724.

It is an arithmetic number, because the mean of its divisors is an integer number (239959722990).

Almost surely, 2^{4164224112504} is an apocalyptic number.

It is an amenable number.

4164224112504 is an abundant number, since it is smaller than the sum of its proper divisors (7353842591016).

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

4164224112504 is a wasteful number, since it uses less digits than its factorization.

4164224112504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230562740 (or 1230562733 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 4164224112504 in words is "four trillion, one hundred sixty-four billion, two hundred twenty-four million, one hundred twelve thousand, five hundred four".