30452561971456 has 81 divisors (see below), whose sum is σ = 61037289098233. Its totient is φ = 15163636290560.

The previous prime is 30452561971453. The next prime is 30452561971511. The reversal of 30452561971456 is 65417916525403.

The square root of 30452561971456 is 5518384.

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

It can be written as a sum of positive squares in only one way, i.e., 492265011456 + 29960296960000 = 701616^2 + 5473600^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30452561971456.

It is not an unprimeable number, because it can be changed into a prime (30452561971453) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 27459478230 + ... + 27459479338.

Almost surely, 2^{30452561971456} is an apocalyptic number.

30452561971456 is the 5518384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30452561971456

30452561971456 is an abundant number, since it is smaller than the sum of its proper divisors (30584727126777).

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

30452561971456 is an frugal number, since it uses more digits than its factorization.

30452561971456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 58.

The spelling of 30452561971456 in words is "thirty trillion, four hundred fifty-two billion, five hundred sixty-one million, nine hundred seventy-one thousand, four hundred fifty-six".