385396376122368 has 1056 divisors, whose sum is σ = 1256203232758656. Its totient is φ = 117312766083072.

The previous prime is 385396376122367. The next prime is 385396376122397. The reversal of 385396376122368 is 863221673693583.

385396376122368 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 9 + 6 + 376 + 12 + 236 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 385396376122296 and 385396376122305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385396376122361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122855075296 + ... + 122855078432.

Almost surely, 2^{385396376122368} 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 385396376122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628101616379328).

385396376122368 is an abundant number, since it is smaller than the sum of its proper divisors (870806856636288).

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

385396376122368 is a wasteful number, since it uses less digits than its factorization.

385396376122368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3551 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 72.

The spelling of 385396376122368 in words is "three hundred eighty-five trillion, three hundred ninety-six billion, three hundred seventy-six million, one hundred twenty-two thousand, three hundred sixty-eight".