8123249664 has 264 divisors, whose sum is σ = 25776479040. Its totient is φ = 2452488192.

The previous prime is 8123249639. The next prime is 8123249731. The reversal of 8123249664 is 4669423218.

8123249664 is a `hidden beast` number, since 81 + 23 + 2 + 496 + 64 = 666.

It is a super-2 number, since 2×8123249664² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4026384 + ... + 4028400.

Almost surely, 2^8123249664 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 8123249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888239520).

8123249664 is an abundant number, since it is smaller than the sum of its proper divisors (17653229376).

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

8123249664 is a wasteful number, since it uses less digits than its factorization.

8123249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2064 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 8123249664 is about 90129.0722464178. The cubic root of 8123249664 is about 2010.2185074696.

The spelling of 8123249664 in words is "eight billion, one hundred twenty-three million, two hundred forty-nine thousand, six hundred sixty-four".