8445614825956 has 243 divisors, whose sum is σ = 19181509251177. Its totient is φ = 3241850599680.

The previous prime is 8445614825933. The next prime is 8445614825959. The reversal of 8445614825956 is 6595284165448.

It is a happy number.

The square root of 8445614825956 is 2906134.

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., 148818492900 + 8296796333056 = 385770^2 + 2880416^2 .

Its product of digits (331776000) is a multiple of the sum of its prime divisors (300).

It is a junction number, because it is equal to n+sod(n) for n = 8445614825891 and 8445614825900.

It is not an unprimeable number, because it can be changed into a prime (8445614825959) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 50572543785 + ... + 50572543951.

Almost surely, 2^{8445614825956} is an apocalyptic number.

8445614825956 is the 2906134-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8445614825956

8445614825956 is an abundant number, since it is smaller than the sum of its proper divisors (10735894425221).

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

8445614825956 is a wasteful number, since it uses less digits than its factorization.

8445614825956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its digits is 331776000, while the sum is 67.

The spelling of 8445614825956 in words is "eight trillion, four hundred forty-five billion, six hundred fourteen million, eight hundred twenty-five thousand, nine hundred fifty-six".