386617411152 has 640 divisors, whose sum is σ = 1414766592000. Its totient is φ = 100590336000.

The previous prime is 386617411123. The next prime is 386617411171. The reversal of 386617411152 is 251114716683.

386617411152 is a `hidden beast` number, since 3 + 8 + 6 + 617 + 4 + 11 + 15 + 2 = 666.

It is a super-2 number, since 2×386617411152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 386617411098 and 386617411107.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 78086277 + ... + 78091227.

It is an arithmetic number, because the mean of its divisors is an integer number (2210572800).

Almost surely, 2^386617411152 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 386617411152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707383296000).

386617411152 is an abundant number, since it is smaller than the sum of its proper divisors (1028149180848).

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

386617411152 is a wasteful number, since it uses less digits than its factorization.

386617411152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5011 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 386617411152 in words is "three hundred eighty-six billion, six hundred seventeen million, four hundred eleven thousand, one hundred fifty-two".