8481521664 has 600 divisors, whose sum is σ = 31972203648. Its totient is φ = 2176450560.

The previous prime is 8481521651. The next prime is 8481521681. The reversal of 8481521664 is 4661251848.

It is a happy number.

8481521664 is a `hidden beast` number, since 8 + 481 + 5 + 2 + 166 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102186967 + ... + 102187049.

Almost surely, 2^8481521664 is an apocalyptic number.

8481521664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8481521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986101824).

8481521664 is an abundant number, since it is smaller than the sum of its proper divisors (23490681984).

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

8481521664 is an equidigital number, since it uses as much as digits as its factorization.

8481521664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 8481521664 is about 92095.1772027178. The cubic root of 8481521664 is about 2039.3476114587.

The spelling of 8481521664 in words is "eight billion, four hundred eighty-one million, five hundred twenty-one thousand, six hundred sixty-four".