4046680635168 has 96 divisors (see below), whose sum is σ = 10633642830720. Its totient is φ = 1347484037120.

The previous prime is 4046680635163. The next prime is 4046680635181. The reversal of 4046680635168 is 8615360866404.

4046680635168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4046680635163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568270648 + ... + 568277768.

It is an arithmetic number, because the mean of its divisors is an integer number (110767112820).

Almost surely, 2^{4046680635168} is an apocalyptic number.

4046680635168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4046680635168 is an abundant number, since it is smaller than the sum of its proper divisors (6586962195552).

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

4046680635168 is a wasteful number, since it uses less digits than its factorization.

4046680635168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12490 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 4046680635168 in words is "four trillion, forty-six billion, six hundred eighty million, six hundred thirty-five thousand, one hundred sixty-eight".