386055563112576 has 384 divisors, whose sum is σ = 1387665173007360. Its totient is φ = 100464444702720.

The previous prime is 386055563112553. The next prime is 386055563112601. The reversal of 386055563112576 is 675211365550683.

386055563112576 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 5 + 5 + 56 + 3 + 1 + 1 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×386055563112576² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41171481 + ... + 49670936.

It is an arithmetic number, because the mean of its divisors is an integer number (3613711388040).

Almost surely, 2^{386055563112576} is an apocalyptic number.

386055563112576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

386055563112576 is an abundant number, since it is smaller than the sum of its proper divisors (1001609609894784).

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

386055563112576 is a wasteful number, since it uses less digits than its factorization.

386055563112576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90842492 (or 90842477 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 386055563112576 in words is "three hundred eighty-six trillion, fifty-five billion, five hundred sixty-three million, one hundred twelve thousand, five hundred seventy-six".