8538036144 has 160 divisors (see below), whose sum is σ = 24823411200. Its totient is φ = 2506291200.

The previous prime is 8538036139. The next prime is 8538036161. The reversal of 8538036144 is 4416308358.

It is a super-2 number, since 2×8538036144² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8538036096 and 8538036105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3224229 + ... + 3226875.

It is an arithmetic number, because the mean of its divisors is an integer number (155146320).

Almost surely, 2^8538036144 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 8538036144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12411705600).

8538036144 is an abundant number, since it is smaller than the sum of its proper divisors (16285375056).

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

8538036144 is a wasteful number, since it uses less digits than its factorization.

8538036144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 8538036144 is about 92401.4942736317. The cubic root of 8538036144 is about 2043.8671474602.

The spelling of 8538036144 in words is "eight billion, five hundred thirty-eight million, thirty-six thousand, one hundred forty-four".