4168653225984 has 405 divisors, whose sum is σ = 13071965041863. Its totient is φ = 1279526436864.

The previous prime is 4168653225871. The next prime is 4168653226021. The reversal of 4168653225984 is 4895223568614.

The square root of 4168653225984 is 2041728.

It is a perfect power (a square), and thus also a powerful number.

4168653225984 is a `hidden beast` number, since 4 + 1 + 6 + 8 + 6 + 5 + 32 + 2 + 598 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39109017600 + 4129544208384 = 197760^2 + 2032128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10192305972 + ... + 10192306380.

Almost surely, 2^{4168653225984} is an apocalyptic number.

4168653225984 is the 2041728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4168653225984

4168653225984 is an abundant number, since it is smaller than the sum of its proper divisors (8903311815879).

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

4168653225984 is an frugal number, since it uses more digits than its factorization.

4168653225984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 427 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 4168653225984 in words is "four trillion, one hundred sixty-eight billion, six hundred fifty-three million, two hundred twenty-five thousand, nine hundred eighty-four".