306849122849472 has 224 divisors, whose sum is σ = 947096212992000. Its totient is φ = 87642738118656.

The previous prime is 306849122849431. The next prime is 306849122849491. The reversal of 306849122849472 is 274948221948603.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 306849122849397 and 306849122849406.

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 31 ways as a sum of consecutive naturals, for example, 202674993 + ... + 204183375.

Almost surely, 2^{306849122849472} is an apocalyptic number.

306849122849472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306849122849472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473548106496000).

306849122849472 is an abundant number, since it is smaller than the sum of its proper divisors (640247090142528).

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

306849122849472 is a wasteful number, since it uses less digits than its factorization.

306849122849472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511508 (or 1511484 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 69.

The spelling of 306849122849472 in words is "three hundred six trillion, eight hundred forty-nine billion, one hundred twenty-two million, eight hundred forty-nine thousand, four hundred seventy-two".