382383562752 has 224 divisors, whose sum is σ = 1141279099200. Its totient is φ = 126520786944.

The previous prime is 382383562751. The next prime is 382383562763. The reversal of 382383562752 is 257265383283.

It is a happy number.

382383562752 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 8 + 3 + 5 + 627 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (382383562751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30295899 + ... + 30308517.

Almost surely, 2^382383562752 is an apocalyptic number.

382383562752 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 382383562752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570639549600).

382383562752 is an abundant number, since it is smaller than the sum of its proper divisors (758895536448).

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

382383562752 is a wasteful number, since it uses less digits than its factorization.

382383562752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12791 (or 12761 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 382383562752 in words is "three hundred eighty-two billion, three hundred eighty-three million, five hundred sixty-two thousand, seven hundred fifty-two".