83538448363969 has 9 divisors (see below), whose sum is σ = 83627758595433. Its totient is φ = 83449233438912.

The previous prime is 83538448363897. The next prime is 83538448364029. The reversal of 83538448363969 is 96936384483538.

The square root of 83538448363969 is 9139937.

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

It can be written as a sum of positive squares in 4 ways, for example, as 65614131065025 + 17924317298944 = 8100255^2 + 4233712^2 .

It is not a de Polignac number, because 83538448363969 - 2¹³ = 83538448355777 is a prime.

It is a super-2 number, since 2×83538448363969² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83538448369969) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9587789557 + ... + 9587798269.

Almost surely, 2^{83538448363969} is an apocalyptic number.

83538448363969 is the 9139937-th square number.

83538448363969 is the 4569969-th centered octagonal number.

It is an amenable number.

83538448363969 is a deficient number, since it is larger than the sum of its proper divisors (89310231464).

83538448363969 is an frugal number, since it uses more digits than its factorization.

83538448363969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19524 (or 9762 counting only the distinct ones).

The product of its digits is 9674588160, while the sum is 79.

The spelling of 83538448363969 in words is "eighty-three trillion, five hundred thirty-eight billion, four hundred forty-eight million, three hundred sixty-three thousand, nine hundred sixty-nine".