382203742208 has 108 divisors (see below), whose sum is σ = 807683307795. Its totient is φ = 180792078336.

The previous prime is 382203742103. The next prime is 382203742231. The reversal of 382203742208 is 802247302283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 191101871104 + 191101871104 = 437152^2 + 437152^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=437152.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 531576473 + ... + 531577191.

Almost surely, 2^382203742208 is an apocalyptic number.

382203742208 is a gapful number since it is divisible by the number (38) 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 382203742208

382203742208 is an abundant number, since it is smaller than the sum of its proper divisors (425479565587).

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

382203742208 is an frugal number, since it uses more digits than its factorization.

382203742208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The spelling of 382203742208 in words is "three hundred eighty-two billion, two hundred three million, seven hundred forty-two thousand, two hundred eight".