82438210043401 has 81 divisors (see below), whose sum is σ = 92470206523149. Its totient is φ = 73477666692144.

The previous prime is 82438210043393. The next prime is 82438210043407. The reversal of 82438210043401 is 10434001283428.

The square root of 82438210043401 is 9079549.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 82438210043401 - 2³ = 82438210043393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82438210043407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 313453269996 + ... + 313453270258.

Almost surely, 2^{82438210043401} is an apocalyptic number.

82438210043401 is the 9079549-th square number.

82438210043401 is the 4539775-th centered octagonal number.

It is an amenable number.

82438210043401 is a deficient number, since it is larger than the sum of its proper divisors (10031996479748).

82438210043401 is an frugal number, since it uses more digits than its factorization.

82438210043401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 82438210043401 in words is "eighty-two trillion, four hundred thirty-eight billion, two hundred ten million, forty-three thousand, four hundred one".