8148896976 has 240 divisors, whose sum is σ = 24079903232. Its totient is φ = 2371057920.

The previous prime is 8148896971. The next prime is 8148896981. The reversal of 8148896976 is 6796988418.

It is an interprime number because it is at equal distance from previous prime (8148896971) and next prime (8148896981).

It is a super-3 number, since 3×8148896976³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8148896971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16732605 + ... + 16733091.

Almost surely, 2^8148896976 is an apocalyptic number.

8148896976 is a gapful number since it is divisible by the number (86) 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 8148896976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039951616).

8148896976 is an abundant number, since it is smaller than the sum of its proper divisors (15931006256).

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

8148896976 is a wasteful number, since it uses less digits than its factorization.

8148896976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 613 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 66.

The square root of 8148896976 is about 90271.2411347047. The cubic root of 8148896976 is about 2012.3318873293.

The spelling of 8148896976 in words is "eight billion, one hundred forty-eight million, eight hundred ninety-six thousand, nine hundred seventy-six".