4146683904 has 168 divisors, whose sum is σ = 13070095272. Its totient is φ = 1256325120.

The previous prime is 4146683873. The next prime is 4146683921. The reversal of 4146683904 is 4093866414.

It is a self number, because there is not a number n which added to its sum of digits gives 4146683904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 808452 + ... + 813564.

Almost surely, 2^4146683904 is an apocalyptic number.

4146683904 is a gapful number since it is divisible by the number (44) 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 4146683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535047636).

4146683904 is an abundant number, since it is smaller than the sum of its proper divisors (8923411368).

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

4146683904 is a wasteful number, since it uses less digits than its factorization.

4146683904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4146683904 is about 64394.7505935072. The cubic root of 4146683904 is about 1606.5724316632.

The spelling of 4146683904 in words is "four billion, one hundred forty-six million, six hundred eighty-three thousand, nine hundred four".