385719066883968 has 128 divisors (see below), whose sum is σ = 1032695666150400. Its totient is φ = 127554222612480.

The previous prime is 385719066883967. The next prime is 385719066883999. The reversal of 385719066883968 is 869388660917583.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385719066883967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69989905 + ... + 75299567.

It is an arithmetic number, because the mean of its divisors is an integer number (8067934891800).

Almost surely, 2^{385719066883968} 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 385719066883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516347833075200).

385719066883968 is an abundant number, since it is smaller than the sum of its proper divisors (646976599266432).

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

385719066883968 is a wasteful number, since it uses less digits than its factorization.

385719066883968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311180 (or 5311168 counting only the distinct ones).

The product of its (nonzero) digits is 22574039040, while the sum is 87.

The spelling of 385719066883968 in words is "three hundred eighty-five trillion, seven hundred nineteen billion, sixty-six million, eight hundred eighty-three thousand, nine hundred sixty-eight".