8332545456 has 240 divisors, whose sum is σ = 25592112000. Its totient is φ = 2521635840.

The previous prime is 8332545443. The next prime is 8332545457. The reversal of 8332545456 is 6545452338.

8332545456 is a `hidden beast` number, since 83 + 3 + 25 + 4 + 545 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (8332545457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6617755 + ... + 6619013.

It is an arithmetic number, because the mean of its divisors is an integer number (106633800).

Almost surely, 2^8332545456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8332545456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796056000).

8332545456 is an abundant number, since it is smaller than the sum of its proper divisors (17259566544).

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

8332545456 is a wasteful number, since it uses less digits than its factorization.

8332545456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1383 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 8332545456 is about 91282.7774336430. Note that the first 3 decimals coincide. The cubic root of 8332545456 is about 2027.3367694562.

The spelling of 8332545456 in words is "eight billion, three hundred thirty-two million, five hundred forty-five thousand, four hundred fifty-six".