8309475003456 has 567 divisors, whose sum is σ = 26765420478069. Its totient is φ = 2462907110400.

The previous prime is 8309475003451. The next prime is 8309475003481. The reversal of 8309475003456 is 6543005749038.

The square root of 8309475003456 is 2882616.

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

8309475003456 is a `hidden beast` number, since 8 + 3 + 0 + 94 + 7 + 500 + 3 + 45 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 270208673856 + 8039266329600 = 519816^2 + 2835360^2 .

It is not an unprimeable number, because it can be changed into a prime (8309475003451) 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, 46421647975 + ... + 46421648153.

Almost surely, 2^{8309475003456} is an apocalyptic number.

8309475003456 is the 2882616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8309475003456

8309475003456 is an abundant number, since it is smaller than the sum of its proper divisors (18455945474613).

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

8309475003456 is a wasteful number, since it uses less digits than its factorization.

8309475003456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 8309475003456 in words is "eight trillion, three hundred nine billion, four hundred seventy-five million, three thousand, four hundred fifty-six".