93189162361 has 9 divisors (see below), whose sum is σ = 98998844749. Its totient is φ = 87702562624.

The previous prime is 93189162349. The next prime is 93189162379. The reversal of 93189162361 is 16326198139.

The square root of 93189162361 is 305269.

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 71385686761 + 21803475600 = 267181^2 + 147660^2 .

It is not a de Polignac number, because 93189162361 - 2⁵ = 93189162329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93189162331) 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, 5180595 + ... + 5198551.

Almost surely, 2^93189162361 is an apocalyptic number.

93189162361 is the 305269-th square number.

93189162361 is the 152635-th centered octagonal number.

It is an amenable number.

93189162361 is a deficient number, since it is larger than the sum of its proper divisors (5809682388).

93189162361 is an frugal number, since it uses more digits than its factorization.

93189162361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35948 (or 17974 counting only the distinct ones).

The product of its digits is 419904, while the sum is 49.

Multiplying 93189162361 by its sum of digits (49), we get a square (4566268955689 = 2136883²).

The spelling of 93189162361 in words is "ninety-three billion, one hundred eighty-nine million, one hundred sixty-two thousand, three hundred sixty-one".