30845583054400 has 189 divisors, whose sum is σ = 77729636678211. Its totient is φ = 12047565358080.

The previous prime is 30845583054371. The next prime is 30845583054413. The reversal of 30845583054400 is 445038554803.

The square root of 30845583054400 is 5553880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3562761950784 + 27282821103616 = 1887528^2 + 5223296^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 9552671986 + ... + 9552675214.

Almost surely, 2^{30845583054400} is an apocalyptic number.

30845583054400 is the 5553880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30845583054400

30845583054400 is an abundant number, since it is smaller than the sum of its proper divisors (46884053623811).

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

30845583054400 is an frugal number, since it uses more digits than its factorization.

30845583054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6566 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 49.

The spelling of 30845583054400 in words is "thirty trillion, eight hundred forty-five billion, five hundred eighty-three million, fifty-four thousand, four hundred".