382849087504 has 135 divisors (see below), whose sum is σ = 819399037527. Its totient is φ = 173209840128.

The previous prime is 382849087501. The next prime is 382849087529. The reversal of 382849087504 is 405780948283.

It is a happy number.

The square root of 382849087504 is 618748.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38514847504 + 344334240000 = 196252^2 + 586800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382849087501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2348767327 + ... + 2348767489.

Almost surely, 2^382849087504 is an apocalyptic number.

382849087504 is the 618748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382849087504

382849087504 is an abundant number, since it is smaller than the sum of its proper divisors (436549950023).

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

382849087504 is an equidigital number, since it uses as much as digits as its factorization.

382849087504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 382849087504 in words is "three hundred eighty-two billion, eight hundred forty-nine million, eighty-seven thousand, five hundred four".