393945285888 has 1296 divisors, whose sum is σ = 1547077109760. Its totient is φ = 98761420800.

The previous prime is 393945285869. The next prime is 393945285889. The reversal of 393945285888 is 888582549393.

393945285888 is a `hidden beast` number, since 3 + 9 + 3 + 94 + 528 + 5 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393945285889) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1039433283 + ... + 1039433661.

Almost surely, 2^393945285888 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 393945285888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773538554880).

393945285888 is an abundant number, since it is smaller than the sum of its proper divisors (1153131823872).

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

393945285888 is a wasteful number, since it uses less digits than its factorization.

393945285888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 433 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 393945285888 in words is "three hundred ninety-three billion, nine hundred forty-five million, two hundred eighty-five thousand, eight hundred eighty-eight".