382145810000 has 50 divisors (see below), whose sum is σ = 925213244802. Its totient is φ = 152858320000.

The previous prime is 382145809961. The next prime is 382145810021. The reversal of 382145810000 is 18541283.

It can be written as a sum of positive squares in 5 ways, for example, as 270325125184 + 111820684816 = 519928^2 + 334396^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×382145810000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 19097291 + ... + 19117290.

Almost surely, 2^382145810000 is an apocalyptic number.

It is an amenable number.

382145810000 is an abundant number, since it is smaller than the sum of its proper divisors (543067434802).

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

382145810000 is an equidigital number, since it uses as much as digits as its factorization.

382145810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38214609 (or 38214588 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 382145810000 in words is "three hundred eighty-two billion, one hundred forty-five million, eight hundred ten thousand".