333413239968 has 36 divisors (see below), whose sum is σ = 948143901978. Its totient is φ = 111137746560.

The previous prime is 333413239949. The next prime is 333413239969. The reversal of 333413239968 is 869932314333.

333413239968 is a `hidden beast` number, since 3 + 3 + 341 + 3 + 239 + 9 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 210119558544 + 123293681424 = 458388^2 + 351132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×333413239968² (a number of 24 digits) contains 22 as substring.

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 (333413239969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 578842143 + ... + 578842718.

Almost surely, 2^333413239968 is an apocalyptic number.

It is an amenable number.

333413239968 is an abundant number, since it is smaller than the sum of its proper divisors (614730662010).

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

333413239968 is a wasteful number, since it uses less digits than its factorization.

333413239968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157684877 (or 1157684866 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 54.

The spelling of 333413239968 in words is "three hundred thirty-three billion, four hundred thirteen million, two hundred thirty-nine thousand, nine hundred sixty-eight".