8350138368 has 510 divisors, whose sum is σ = 29530558442. Its totient is φ = 2335703040.

The previous prime is 8350138343. The next prime is 8350138369. The reversal of 8350138368 is 8638310538.

8350138368 is a `hidden beast` number, since 8 + 3 + 501 + 3 + 83 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5780865024 + 2569273344 = 76032^2 + 50688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8350138369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 642318330 + ... + 642318342.

Almost surely, 2^8350138368 is an apocalyptic number.

8350138368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8350138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14765279221).

8350138368 is an abundant number, since it is smaller than the sum of its proper divisors (21180420074).

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

8350138368 is an equidigital number, since it uses as much as digits as its factorization.

8350138368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8350138368 is about 91379.0915253593. The cubic root of 8350138368 is about 2028.7625716640.

The spelling of 8350138368 in words is "eight billion, three hundred fifty million, one hundred thirty-eight thousand, three hundred sixty-eight".