920411903161 has 9 divisors (see below), whose sum is σ = 924254798061. Its totient is φ = 916584932352.

The previous prime is 920411903149. The next prime is 920411903197. The reversal of 920411903161 is 161309114029.

The square root of 920411903161 is 959381.

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

920411903161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 390398782761 + 530013120400 = 624819^2 + 728020^2 .

It is not a de Polignac number, because 920411903161 - 2¹⁷ = 920411772089 is a prime.

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 920411903161.

It is not an unprimeable number, because it can be changed into a prime (920411903461) 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, 246559051 + ... + 246562783.

Almost surely, 2^920411903161 is an apocalyptic number.

920411903161 is the 959381-st square number.

920411903161 is the 479691-st centered octagonal number.

It is an amenable number.

920411903161 is a deficient number, since it is larger than the sum of its proper divisors (3842894900).

920411903161 is an frugal number, since it uses more digits than its factorization.

920411903161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7980 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 920411903161 in words is "nine hundred twenty billion, four hundred eleven million, nine hundred three thousand, one hundred sixty-one".