383394017328960 has 336 divisors, whose sum is σ = 1350502286470848. Its totient is φ = 92075365662720.

The previous prime is 383394017328953. The next prime is 383394017328967. The reversal of 383394017328960 is 69823710493383.

It is an interprime number because it is at equal distance from previous prime (383394017328953) and next prime (383394017328967).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 383394017328891 and 383394017328900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383394017328967) by changing a digit.

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, 2994097 + ... + 27852336.

It is an arithmetic number, because the mean of its divisors is an integer number (4019352043068).

Almost surely, 2^{383394017328960} is an apocalyptic number.

383394017328960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383394017328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675251143235424).

383394017328960 is an abundant number, since it is smaller than the sum of its proper divisors (967108269141888).

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

383394017328960 is a wasteful number, since it uses less digits than its factorization.

383394017328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30846582 (or 30846561 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 383394017328960 in words is "three hundred eighty-three trillion, three hundred ninety-four billion, seventeen million, three hundred twenty-eight thousand, nine hundred sixty".