386651206656 has 528 divisors, whose sum is σ = 1329928367040. Its totient is φ = 106646077440.

The previous prime is 386651206619. The next prime is 386651206657. The reversal of 386651206656 is 656602156683.

386651206656 is a `hidden beast` number, since 3 + 8 + 66 + 512 + 0 + 6 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386651206657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96203815 + ... + 96207833.

Almost surely, 2^386651206656 is an apocalyptic number.

386651206656 is a gapful number since it is divisible by the number (36) 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 386651206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664964183520).

386651206656 is an abundant number, since it is smaller than the sum of its proper divisors (943277160384).

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

386651206656 is a wasteful number, since it uses less digits than its factorization.

386651206656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 386651206656 in words is "three hundred eighty-six billion, six hundred fifty-one million, two hundred six thousand, six hundred fifty-six".