9185742578401 has 3 divisors (see below), whose sum is σ = 9185745609201. Its totient is φ = 9185739547602.

The previous prime is 9185742578377. The next prime is 9185742578423. The reversal of 9185742578401 is 1048752475819.

The square root of 9185742578401 is 3030799.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 9185742578401 - 2³¹ = 9183595094753 is a prime.

It is a super-3 number, since 3×9185742578401³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9185742578401.

It is not an unprimeable number, because it can be changed into a prime (9185742578491) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1515400 + ... + 4546198.

It is an arithmetic number, because the mean of its divisors is an integer number (3061915203067).

Almost surely, 2^{9185742578401} is an apocalyptic number.

9185742578401 is the 3030799-th square number.

9185742578401 is the 1515400-th centered octagonal number.

It is an amenable number.

9185742578401 is a deficient number, since it is larger than the sum of its proper divisors (3030800).

9185742578401 is an frugal number, since it uses more digits than its factorization.

9185742578401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6061598 (or 3030799 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 61.

The spelling of 9185742578401 in words is "nine trillion, one hundred eighty-five billion, seven hundred forty-two million, five hundred seventy-eight thousand, four hundred one".