8487852945664 has 81 divisors (see below), whose sum is σ = 17999476024341. Its totient is φ = 3993910824960.

The previous prime is 8487852945661. The next prime is 8487852945679. The reversal of 8487852945664 is 4665492587848.

It is a happy number.

The square root of 8487852945664 is 2913392.

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., 6608190009600 + 1879662936064 = 2570640^2 + 1371008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8487852945661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 792437269 + ... + 792447979.

Almost surely, 2^{8487852945664} is an apocalyptic number.

8487852945664 is the 2913392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8487852945664

8487852945664 is an abundant number, since it is smaller than the sum of its proper divisors (9511623078677).

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

8487852945664 is an frugal number, since it uses more digits than its factorization.

8487852945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21472 (or 10730 counting only the distinct ones).

The product of its digits is 3715891200, while the sum is 76.

The spelling of 8487852945664 in words is "eight trillion, four hundred eighty-seven billion, eight hundred fifty-two million, nine hundred forty-five thousand, six hundred sixty-four".