386628199488 has 560 divisors, whose sum is σ = 1247515188480. Its totient is φ = 117932212224.

The previous prime is 386628199481. The next prime is 386628199523. The reversal of 386628199488 is 884991826683.

386628199488 is a `hidden beast` number, since 3 + 8 + 6 + 62 + 81 + 9 + 9 + 488 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (386628199481) 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 79 ways as a sum of consecutive naturals, for example, 1114202131 + ... + 1114202477.

Almost surely, 2^386628199488 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 386628199488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623757594240).

386628199488 is an abundant number, since it is smaller than the sum of its proper divisors (860886988992).

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

386628199488 is a wasteful number, since it uses less digits than its factorization.

386628199488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 685 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 72.

The spelling of 386628199488 in words is "three hundred eighty-six billion, six hundred twenty-eight million, one hundred ninety-nine thousand, four hundred eighty-eight".