8319138048 has 360 divisors, whose sum is σ = 27035481088. Its totient is φ = 2539579392.

The previous prime is 8319138043. The next prime is 8319138067. The reversal of 8319138048 is 8408319138.

8319138048 is a `hidden beast` number, since 83 + 191 + 380 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8319137994 and 8319138012.

It is not an unprimeable number, because it can be changed into a prime (8319138043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65504961 + ... + 65505087.

Almost surely, 2^8319138048 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 8319138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517740544).

8319138048 is an abundant number, since it is smaller than the sum of its proper divisors (18716343040).

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

8319138048 is an frugal number, since it uses more digits than its factorization.

8319138048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8319138048 is about 91209.3089985885. The cubic root of 8319138048 is about 2026.2488296809.

The spelling of 8319138048 in words is "eight billion, three hundred nineteen million, one hundred thirty-eight thousand, forty-eight".