8449215138 has 240 divisors, whose sum is σ = 24308283384. Its totient is φ = 2172925440.

The previous prime is 8449215133. The next prime is 8449215139. The reversal of 8449215138 is 8315129448.

8449215138 is a `hidden beast` number, since 8 + 4 + 492 + 151 + 3 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1204992369 + 7244222769 = 34713^2 + 85113^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8449215093 and 8449215102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8449215133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4229956 + ... + 4231952.

Almost surely, 2^8449215138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8449215138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12154141692).

8449215138 is an abundant number, since it is smaller than the sum of its proper divisors (15859068246).

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

8449215138 is a wasteful number, since it uses less digits than its factorization.

8449215138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2063 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 8449215138 is about 91919.6123686344. The cubic root of 8449215138 is about 2036.7549923196.

The spelling of 8449215138 in words is "eight billion, four hundred forty-nine million, two hundred fifteen thousand, one hundred thirty-eight".