30254344505344 has 96 divisors (see below), whose sum is σ = 60735189879000. Its totient is φ = 15066870054912.

The previous prime is 30254344505317. The next prime is 30254344505377. The reversal of 30254344505344 is 44350544345203.

It can be written as a sum of positive squares in 4 ways, for example, as 8677501977600 + 21576842527744 = 2945760^2 + 4645088^2 .

It is a super-2 number, since 2×30254344505344² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30254344505294 and 30254344505303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4039833952 + ... + 4039841440.

Almost surely, 2^{30254344505344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30254344505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30367594939500).

30254344505344 is an abundant number, since it is smaller than the sum of its proper divisors (30480845373656).

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

30254344505344 is an equidigital number, since it uses as much as digits as its factorization.

30254344505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15113 (or 15093 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 46.

The spelling of 30254344505344 in words is "thirty trillion, two hundred fifty-four billion, three hundred forty-four million, five hundred five thousand, three hundred forty-four".