83178597649 has 9 divisors (see below), whose sum is σ = 96761125371. Its totient is φ = 71294210400.

The previous prime is 83178597629. The next prime is 83178597661. The reversal of 83178597649 is 94679587138.

The square root of 83178597649 is 288407.

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

It can be written as a sum of positive squares in only one way, i.e., 70759724049 + 12418873600 = 266007^2 + 111440^2 .

It is not a de Polignac number, because 83178597649 - 2⁹ = 83178597137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83178597629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1998249 + ... + 2039449.

Almost surely, 2^83178597649 is an apocalyptic number.

83178597649 is the 288407-th square number.

83178597649 is the 144204-th centered octagonal number.

It is an amenable number.

83178597649 is a deficient number, since it is larger than the sum of its proper divisors (13582527722).

83178597649 is an frugal number, since it uses more digits than its factorization.

83178597649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82416 (or 41208 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 67.

The spelling of 83178597649 in words is "eighty-three billion, one hundred seventy-eight million, five hundred ninety-seven thousand, six hundred forty-nine".