83538067440144 has 80 divisors (see below), whose sum is σ = 217929249329792. Its totient is φ = 27572209726464.

The previous prime is 83538067440137. The next prime is 83538067440151. The reversal of 83538067440144 is 44104476083538.

It is an interprime number because it is at equal distance from previous prime (83538067440137) and next prime (83538067440151).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38460414 + ... + 40574370.

Almost surely, 2^{83538067440144} 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 83538067440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108964624664896).

83538067440144 is an abundant number, since it is smaller than the sum of its proper divisors (134391181889648).

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

83538067440144 is a wasteful number, since it uses less digits than its factorization.

83538067440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122064 (or 2122058 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 83538067440144 in words is "eighty-three trillion, five hundred thirty-eight billion, sixty-seven million, four hundred forty thousand, one hundred forty-four".