20182834785961 has 9 divisors (see below), whose sum is σ = 21301087465431. Its totient is φ = 19120499457984.

The previous prime is 20182834785947. The next prime is 20182834785979. The reversal of 20182834785961 is 16958743828102.

The square root of 20182834785961 is 4492531.

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., 8204036904361 + 11978797881600 = 2864269^2 + 3461040^2 .

It is not a de Polignac number, because 20182834785961 - 2¹³ = 20182834777769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20182834785893 and 20182834785902.

It is not an unprimeable number, because it can be changed into a prime (20182834785361) 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, 85239865 + ... + 85476313.

It is an arithmetic number, because the mean of its divisors is an integer number (2366787496159).

It is a 1-persistent number, because it is pandigital, but 2⋅20182834785961 = 40365669571922 is not.

Almost surely, 2^{20182834785961} is an apocalyptic number.

20182834785961 is the 4492531-st square number.

20182834785961 is the 2246266-th centered octagonal number.

It is an amenable number.

20182834785961 is a deficient number, since it is larger than the sum of its proper divisors (1118252679470).

20182834785961 is an frugal number, since it uses more digits than its factorization.

20182834785961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472936 (or 236468 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 64.

The spelling of 20182834785961 in words is "twenty trillion, one hundred eighty-two billion, eight hundred thirty-four million, seven hundred eighty-five thousand, nine hundred sixty-one".