384968775825 has 36 divisors (see below), whose sum is σ = 690191057088. Its totient is φ = 205117413600.

The previous prime is 384968775809. The next prime is 384968775859. The reversal of 384968775825 is 528577869483.

384968775825 is a `hidden beast` number, since 3 + 8 + 496 + 87 + 7 + 58 + 2 + 5 = 666.

It is not a de Polignac number, because 384968775825 - 2⁴ = 384968775809 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 597789 + ... + 1061738.

It is an arithmetic number, because the mean of its divisors is an integer number (19171973808).

Almost surely, 2^384968775825 is an apocalyptic number.

It is an amenable number.

384968775825 is a deficient number, since it is larger than the sum of its proper divisors (305222281263).

384968775825 is a wasteful number, since it uses less digits than its factorization.

384968775825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660574 (or 1660566 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 72.

The spelling of 384968775825 in words is "three hundred eighty-four billion, nine hundred sixty-eight million, seven hundred seventy-five thousand, eight hundred twenty-five".