383086005342768 has 480 divisors, whose sum is σ = 1357726326203520. Its totient is φ = 98145898905600.

The previous prime is 383086005342749. The next prime is 383086005342793. The reversal of 383086005342768 is 867243500680383.

383086005342768 is a `hidden beast` number, since 3 + 8 + 30 + 8 + 6 + 0 + 0 + 534 + 2 + 7 + 68 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67415068 + ... + 72876356.

It is an arithmetic number, because the mean of its divisors is an integer number (2828596512924).

Almost surely, 2^{383086005342768} 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 383086005342768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678863163101760).

383086005342768 is an abundant number, since it is smaller than the sum of its proper divisors (974640320860752).

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

383086005342768 is a wasteful number, since it uses less digits than its factorization.

383086005342768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461477 (or 5461468 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 383086005342768 in words is "three hundred eighty-three trillion, eighty-six billion, five million, three hundred forty-two thousand, seven hundred sixty-eight".