30345133504144 has 80 divisors (see below), whose sum is σ = 60925736931840. Its totient is φ = 14624184960000.

The previous prime is 30345133504123. The next prime is 30345133504177. The reversal of 30345133504144 is 44140533154303.

It is a junction number, because it is equal to n+sod(n) for n = 30345133504097 and 30345133504106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667181884 + ... + 667227364.

It is an arithmetic number, because the mean of its divisors is an integer number (761571711648).

Almost surely, 2^{30345133504144} is an apocalyptic number.

It is an amenable number.

30345133504144 is an abundant number, since it is smaller than the sum of its proper divisors (30580603427696).

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

30345133504144 is a wasteful number, since it uses less digits than its factorization.

30345133504144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47960 (or 47954 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 30345133504144 its reverse (44140533154303), we get a palindrome (74485666658447).

The spelling of 30345133504144 in words is "thirty trillion, three hundred forty-five billion, one hundred thirty-three million, five hundred four thousand, one hundred forty-four".