8253735144 has 128 divisors (see below), whose sum is σ = 22343040000. Its totient is φ = 2531257344.

The previous prime is 8253735067. The next prime is 8253735167. The reversal of 8253735144 is 4415373528.

It is a junction number, because it is equal to n+sod(n) for n = 8253735096 and 8253735105.

It is an unprimeable number.

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, 4789467 + ... + 4791189.

It is an arithmetic number, because the mean of its divisors is an integer number (174555000).

Almost surely, 2^8253735144 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 8253735144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171520000).

8253735144 is an abundant number, since it is smaller than the sum of its proper divisors (14089304856).

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

8253735144 is a wasteful number, since it uses less digits than its factorization.

8253735144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2003 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 8253735144 is about 90850.0695872051. The cubic root of 8253735144 is about 2020.9249059876.

The spelling of 8253735144 in words is "eight billion, two hundred fifty-three million, seven hundred thirty-five thousand, one hundred forty-four".