8153144832 has 320 divisors, whose sum is σ = 26109186048. Its totient is φ = 2211840000.

The previous prime is 8153144827. The next prime is 8153144837. The reversal of 8153144832 is 2384413518.

It is an interprime number because it is at equal distance from previous prime (8153144827) and next prime (8153144837).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8153144837) 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 31 ways as a sum of consecutive naturals, for example, 20331832 + ... + 20332232.

Almost surely, 2^8153144832 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 8153144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13054593024).

8153144832 is an abundant number, since it is smaller than the sum of its proper divisors (17956041216).

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

8153144832 is a wasteful number, since it uses less digits than its factorization.

8153144832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 505 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 8153144832 is about 90294.7663599613. The cubic root of 8153144832 is about 2012.6814892947.

The spelling of 8153144832 in words is "eight billion, one hundred fifty-three million, one hundred forty-four thousand, eight hundred thirty-two".