382109156352 has 1584 divisors, whose sum is σ = 1506310332800. Its totient is φ = 96566722560.

The previous prime is 382109156347. The next prime is 382109156353. The reversal of 382109156352 is 253651901283.

382109156352 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 0 + 9 + 1 + 5 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a junction number, because it is equal to n+sod(n) for n = 382109156298 and 382109156307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382109156353) 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 143 ways as a sum of consecutive naturals, for example, 10327274478 + ... + 10327274514.

Almost surely, 2^382109156352 is an apocalyptic number.

382109156352 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 382109156352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753155166400).

382109156352 is an abundant number, since it is smaller than the sum of its proper divisors (1124201176448).

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

382109156352 is an equidigital number, since it uses as much as digits as its factorization.

382109156352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 382109156352 in words is "three hundred eighty-two billion, one hundred nine million, one hundred fifty-six thousand, three hundred fifty-two".