30284768641104 has 60 divisors (see below), whose sum is σ = 84765047838900. Its totient is φ = 10093760658432.

The previous prime is 30284768641093. The next prime is 30284768641117. The reversal of 30284768641104 is 40114686748203.

30284768641104 is a `hidden beast` number, since 3 + 0 + 2 + 8 + 476 + 8 + 64 + 1 + 104 = 666.

30284768641104 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 24922580031504 + 5362188609600 = 4992252^2 + 2315640^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10850919 + ... + 13353350.

It is an arithmetic number, because the mean of its divisors is an integer number (1412750797315).

Almost surely, 2^{30284768641104} is an apocalyptic number.

It is an amenable number.

30284768641104 is an abundant number, since it is smaller than the sum of its proper divisors (54480279197796).

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

30284768641104 is a wasteful number, since it uses less digits than its factorization.

30284768641104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24212972 (or 24212963 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 30284768641104 in words is "thirty trillion, two hundred eighty-four billion, seven hundred sixty-eight million, six hundred forty-one thousand, one hundred four".