4164928552512 has 2016 divisors, whose sum is σ = 16380108057600. Its totient is φ = 1032553267200.

The previous prime is 4164928552511. The next prime is 4164928552523. The reversal of 4164928552512 is 2152558294614.

It is a happy number.

4164928552512 is a `hidden beast` number, since 4 + 1 + 6 + 49 + 2 + 85 + 5 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164928552511) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18187460814 + ... + 18187461042.

It is an arithmetic number, because the mean of its divisors is an integer number (8125053600).

Almost surely, 2^{4164928552512} is an apocalyptic number.

4164928552512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164928552512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190054028800).

4164928552512 is an abundant number, since it is smaller than the sum of its proper divisors (12215179505088).

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

4164928552512 is a wasteful number, since it uses less digits than its factorization.

4164928552512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 326 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 4164928552512 in words is "four trillion, one hundred sixty-four billion, nine hundred twenty-eight million, five hundred fifty-two thousand, five hundred twelve".