8121485664 has 144 divisors (see below), whose sum is σ = 23467691520. Its totient is φ = 2663781120.

The previous prime is 8121485653. The next prime is 8121485677. The reversal of 8121485664 is 4665841218.

It is a happy number.

8121485664 is a `hidden beast` number, since 81 + 2 + 1 + 4 + 8 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×8121485664³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11170869 + ... + 11171595.

It is an arithmetic number, because the mean of its divisors is an integer number (162970080).

Almost surely, 2^8121485664 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 8121485664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11733845760).

8121485664 is an abundant number, since it is smaller than the sum of its proper divisors (15346205856).

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

8121485664 is a wasteful number, since it uses less digits than its factorization.

8121485664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1302 counting only the distinct ones).

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

The square root of 8121485664 is about 90119.2857494998. The cubic root of 8121485664 is about 2010.0729876221.

The spelling of 8121485664 in words is "eight billion, one hundred twenty-one million, four hundred eighty-five thousand, six hundred sixty-four".