393929389152 has 240 divisors, whose sum is σ = 1271199893040. Its totient is φ = 118921540608.

The previous prime is 393929389129. The next prime is 393929389207. The reversal of 393929389152 is 251983929393.

393929389152 is a `hidden beast` number, since 3 + 9 + 392 + 93 + 8 + 9 + 152 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 393929389152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1675599 + ... + 1896177.

It is an arithmetic number, because the mean of its divisors is an integer number (5296666221).

Almost surely, 2^393929389152 is an apocalyptic number.

393929389152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393929389152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635599946520).

393929389152 is an abundant number, since it is smaller than the sum of its proper divisors (877270503888).

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

393929389152 is a wasteful number, since it uses less digits than its factorization.

393929389152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220667 (or 220650 counting only the distinct ones).

The product of its digits is 28343520, while the sum is 63.

The spelling of 393929389152 in words is "three hundred ninety-three billion, nine hundred twenty-nine million, three hundred eighty-nine thousand, one hundred fifty-two".