93145208809 has 9 divisors (see below), whose sum is σ = 98311728573. Its totient is φ = 88237335852.

The previous prime is 93145208803. The next prime is 93145208813. The reversal of 93145208809 is 90880254139.

The square root of 93145208809 is 305197.

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

It is not a de Polignac number, because 93145208809 - 2⁹ = 93145208297 is a prime.

It is a super-2 number, since 2×93145208809² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93145208803) 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 8 ways as a sum of consecutive naturals, for example, 5790712 + ... + 5806774.

It is an arithmetic number, because the mean of its divisors is an integer number (10923525397).

Almost surely, 2^93145208809 is an apocalyptic number.

93145208809 is the 305197-th square number.

93145208809 is the 152599-th centered octagonal number.

It is an amenable number.

93145208809 is a deficient number, since it is larger than the sum of its proper divisors (5166519764).

93145208809 is an frugal number, since it uses more digits than its factorization.

93145208809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32164 (or 16082 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

Multiplying 93145208809 by its sum of digits (49), we get a square (4564115231641 = 2136379²).

The spelling of 93145208809 in words is "ninety-three billion, one hundred forty-five million, two hundred eight thousand, eight hundred nine".