4146515572100 has 144 divisors (see below), whose sum is σ = 10088098278720. Its totient is φ = 1466323084800.

The previous prime is 4146515572051. The next prime is 4146515572123. The reversal of 4146515572100 is 12755156414.

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 47 ways as a sum of consecutive naturals, for example, 10640294 + ... + 11023106.

Almost surely, 2^{4146515572100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4146515572100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044049139360).

4146515572100 is an abundant number, since it is smaller than the sum of its proper divisors (5941582706620).

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

4146515572100 is a wasteful number, since it uses less digits than its factorization.

4146515572100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383110 (or 383103 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 41.

The spelling of 4146515572100 in words is "four trillion, one hundred forty-six billion, five hundred fifteen million, five hundred seventy-two thousand, one hundred".