383856501312 has 252 divisors, whose sum is σ = 1149122548080. Its totient is φ = 127212436224.

The previous prime is 383856501293. The next prime is 383856501313. The reversal of 383856501312 is 213105658383.

383856501312 is a `hidden beast` number, since 3 + 83 + 8 + 56 + 501 + 3 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (383856501313) 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 35 ways as a sum of consecutive naturals, for example, 75160263 + ... + 75165369.

Almost surely, 2^383856501312 is an apocalyptic number.

383856501312 is a gapful number since it is divisible by the number (32) 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 383856501312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574561274040).

383856501312 is an abundant number, since it is smaller than the sum of its proper divisors (765266046768).

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

383856501312 is an frugal number, since it uses more digits than its factorization.

383856501312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 383856501312 in words is "three hundred eighty-three billion, eight hundred fifty-six million, five hundred one thousand, three hundred twelve".