93970785985609 has 27 divisors (see below), whose sum is σ = 103070614507623. Its totient is φ = 85635187198704.

The previous prime is 93970785985597. The next prime is 93970785985723. The reversal of 93970785985609 is 90658958707939.

The square root of 93970785985609 is 9693853.

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., 13901003844025 + 80069782141584 = 3728405^2 + 8948172^2 .

It is not a de Polignac number, because 93970785985609 - 2¹³ = 93970785977417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93970785982609) 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 26 ways as a sum of consecutive naturals, for example, 9955582312 + ... + 9955591750.

It is an arithmetic number, because the mean of its divisors is an integer number (3817430166949).

Almost surely, 2^{93970785985609} is an apocalyptic number.

93970785985609 is the 9693853-rd square number.

93970785985609 is the 4846927-th centered octagonal number.

It is an amenable number.

93970785985609 is a deficient number, since it is larger than the sum of its proper divisors (9099828522014).

93970785985609 is an frugal number, since it uses more digits than its factorization.

93970785985609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19062 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 9258883200, while the sum is 85.

The spelling of 93970785985609 in words is "ninety-three trillion, nine hundred seventy billion, seven hundred eighty-five million, nine hundred eighty-five thousand, six hundred nine".