383981064888960 has 6912 divisors, whose sum is σ = 1847454792543360. Its totient is φ = 72571355136000.

The previous prime is 383981064888931. The next prime is 383981064888983. The reversal of 383981064888960 is 69888460189383.

383981064888960 is a `hidden beast` number, since 3 + 8 + 39 + 8 + 10 + 6 + 488 + 8 + 96 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 383981064888960.

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 863 ways as a sum of consecutive naturals, for example, 5260014587484 + ... + 5260014587556.

Almost surely, 2^{383981064888960} is an apocalyptic number.

383981064888960 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 383981064888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923727396271680).

383981064888960 is an abundant number, since it is smaller than the sum of its proper divisors (1463473727654400).

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

383981064888960 is a wasteful number, since it uses less digits than its factorization.

383981064888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3439853568, while the sum is 81.

The spelling of 383981064888960 in words is "three hundred eighty-three trillion, nine hundred eighty-one billion, sixty-four million, eight hundred eighty-eight thousand, nine hundred sixty".