382114566720 has 448 divisors, whose sum is σ = 1374672384000. Its totient is φ = 99892058112.

The previous prime is 382114566719. The next prime is 382114566727. The reversal of 382114566720 is 27665411283.

382114566720 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 14 + 566 + 72 + 0 = 666.

It is a super-2 number, since 2×382114566720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (382114566727) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 236018071 + ... + 236019689.

Almost surely, 2^382114566720 is an apocalyptic number.

382114566720 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 382114566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687336192000).

382114566720 is an abundant number, since it is smaller than the sum of its proper divisors (992557817280).

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

382114566720 is a wasteful number, since it uses less digits than its factorization.

382114566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 382114566720 in words is "three hundred eighty-two billion, one hundred fourteen million, five hundred sixty-six thousand, seven hundred twenty".