8354444538 has 64 divisors (see below), whose sum is σ = 19416112128. Its totient is φ = 2368408320.

The previous prime is 8354444519. The next prime is 8354444617.

8354444538 is nontrivially palindromic in base 10.

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, 165081 + ... + 209667.

It is an arithmetic number, because the mean of its divisors is an integer number (303376752).

Almost surely, 2^8354444538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8354444538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9708056064).

8354444538 is an abundant number, since it is smaller than the sum of its proper divisors (11061667590).

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

8354444538 is a wasteful number, since it uses less digits than its factorization.

8354444538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44787.

The product of its digits is 3686400, while the sum is 48.

The square root of 8354444538 is about 91402.6506070803. The cubic root of 8354444538 is about 2029.1112563131. Note that the first 3 decimals are identical.

The spelling of 8354444538 in words is "eight billion, three hundred fifty-four million, four hundred forty-four thousand, five hundred thirty-eight".