382285931202 has 162 divisors, whose sum is σ = 977555231289. Its totient is φ = 107655881760.

The previous prime is 382285931197. The next prime is 382285931207. The reversal of 382285931202 is 202139582283.

382285931202 is a `hidden beast` number, since 3 + 82 + 285 + 93 + 1 + 202 = 666.

It is an interprime number because it is at equal distance from previous prime (382285931197) and next prime (382285931207).

It can be written as a sum of positive squares in 2 ways, for example, as 366825246921 + 15460684281 = 605661^2 + 124341^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=437199.

It is a super-2 number, since 2×382285931202² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (382285931207) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2001496927 + ... + 2001497117.

Almost surely, 2^382285931202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382285931202

382285931202 is an abundant number, since it is smaller than the sum of its proper divisors (595269300087).

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

382285931202 is a wasteful number, since it uses less digits than its factorization.

382285931202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 382285931202 in words is "three hundred eighty-two billion, two hundred eighty-five million, nine hundred thirty-one thousand, two hundred two".