386268318072 has 192 divisors, whose sum is σ = 1287900257280. Its totient is φ = 101846128896.

The previous prime is 386268318061. The next prime is 386268318109. The reversal of 386268318072 is 270813862683.

386268318072 is a `hidden beast` number, since 3 + 8 + 626 + 8 + 3 + 1 + 8 + 0 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43284603 + ... + 43293525.

It is an arithmetic number, because the mean of its divisors is an integer number (6707813840).

Almost surely, 2^386268318072 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 386268318072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643950128640).

386268318072 is an abundant number, since it is smaller than the sum of its proper divisors (901631939208).

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

386268318072 is a wasteful number, since it uses less digits than its factorization.

386268318072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15562 (or 15555 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 386268318072 in words is "three hundred eighty-six billion, two hundred sixty-eight million, three hundred eighteen thousand, seventy-two".