331663248 has 100 divisors (see below), whose sum is σ = 1097092480. Its totient is φ = 94758336.

The previous prime is 331663247. The next prime is 331663261. The reversal of 331663248 is 842366133.

331663248 is a `hidden beast` number, since 3 + 3 + 16 + 632 + 4 + 8 = 666.

It is a super-2 number, since 2×331663248² = 220001020147819008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (331663247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9208 + ... + 27351.

Almost surely, 2^331663248 is an apocalyptic number.

It is an amenable number.

331663248 is an abundant number, since it is smaller than the sum of its proper divisors (765429232).

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

331663248 is a wasteful number, since it uses less digits than its factorization.

331663248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36586 (or 36571 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 331663248 is about 18211.6239803044. The cubic root of 331663248 is about 692.2013625417.

It can be divided in two parts, 3316 and 63248, that added together give a square (66564 = 258²).

The spelling of 331663248 in words is "three hundred thirty-one million, six hundred sixty-three thousand, two hundred forty-eight".