1085928642241 has 9 divisors (see below), whose sum is σ = 1091053594659. Its totient is φ = 1080827665536.

The previous prime is 1085928642223. The next prime is 1085928642283. The reversal of 1085928642241 is 1422468295801.

The square root of 1085928642241 is 1042079.

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

1085928642241 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 only one way, i.e., 1040859050625 + 45069591616 = 1020225^2 + 212296^2 .

It is not a de Polignac number, because 1085928642241 - 2¹⁵ = 1085928609473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1085928642041) 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, 232381281 + ... + 232385953.

Almost surely, 2^{1085928642241} is an apocalyptic number.

1085928642241 is the 1042079-th square number.

1085928642241 is the 521040-th centered octagonal number.

It is an amenable number.

1085928642241 is a deficient number, since it is larger than the sum of its proper divisors (5124952418).

1085928642241 is an frugal number, since it uses more digits than its factorization.

1085928642241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9792 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 1085928642241 in words is "one trillion, eighty-five billion, nine hundred twenty-eight million, six hundred forty-two thousand, two hundred forty-one".