83354245338 has 128 divisors (see below), whose sum is σ = 215425566720. Its totient is φ = 20908419840.

The previous prime is 83354245333. The next prime is 83354245369.

83354245338 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (83354245333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1021593 + ... + 1100163.

It is an arithmetic number, because the mean of its divisors is an integer number (1683012240).

Almost surely, 2^83354245338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83354245338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107712783360).

83354245338 is an abundant number, since it is smaller than the sum of its proper divisors (132071321382).

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

83354245338 is a wasteful number, since it uses less digits than its factorization.

83354245338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78692.

The product of its digits is 4147200, while the sum is 48.

The spelling of 83354245338 in words is "eighty-three billion, three hundred fifty-four million, two hundred forty-five thousand, three hundred thirty-eight".