83958864690649 has 9 divisors (see below), whose sum is σ = 90914165899263. Its totient is φ = 77500380528792.

The previous prime is 83958864690607. The next prime is 83958864690671. The reversal of 83958864690649 is 94609646885938.

The square root of 83958864690649 is 9162907.

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., 12419950398025 + 71538914292624 = 3524195^2 + 8458068^2 .

It is not a de Polignac number, because 83958864690649 - 2⁹ = 83958864690137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83958864690689) 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, 118765372 + ... + 119470210.

It is an arithmetic number, because the mean of its divisors is an integer number (10101573988807).

Almost surely, 2^{83958864690649} is an apocalyptic number.

83958864690649 is the 9162907-th square number.

83958864690649 is the 4581454-th centered octagonal number.

It is an amenable number.

83958864690649 is a deficient number, since it is larger than the sum of its proper divisors (6955301208614).

83958864690649 is an frugal number, since it uses more digits than its factorization.

83958864690649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409704 (or 704852 counting only the distinct ones).

The product of its (nonzero) digits is 19349176320, while the sum is 85.

The spelling of 83958864690649 in words is "eighty-three trillion, nine hundred fifty-eight billion, eight hundred sixty-four million, six hundred ninety thousand, six hundred forty-nine".