8138213448 has 32 divisors (see below), whose sum is σ = 20624244000. Its totient is φ = 2675576448.

The previous prime is 8138213431. The next prime is 8138213449. The reversal of 8138213448 is 8443128318.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8138213449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2320798 + ... + 2324301.

It is an arithmetic number, because the mean of its divisors is an integer number (644507625).

Almost surely, 2^8138213448 is an apocalyptic number.

It is an amenable number.

8138213448 is an abundant number, since it is smaller than the sum of its proper divisors (12486030552).

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

8138213448 is a wasteful number, since it uses less digits than its factorization.

8138213448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645181 (or 4645177 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 8138213448 is about 90212.0471334067. The cubic root of 8138213448 is about 2011.4520870227.

It can be divided in two parts, 81382 and 13448, that added together give a triangular number (94830 = T₄₃₅).

The spelling of 8138213448 in words is "eight billion, one hundred thirty-eight million, two hundred thirteen thousand, four hundred forty-eight".