2850961333441 has 45 divisors (see below), whose sum is σ = 3151294160031. Its totient is φ = 2579239473408.

The previous prime is 2850961333427. The next prime is 2850961333453. The reversal of 2850961333441 is 1443331690582.

The square root of 2850961333441 is 1688479.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2844703890625 + 6257442816 = 1686625^2 + 79104^2 .

It is not a de Polignac number, because 2850961333441 - 2¹³ = 2850961325249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2850961333421) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27679236196 + ... + 27679236298.

Almost surely, 2^{2850961333441} is an apocalyptic number.

2850961333441 is the 1688479-th square number.

2850961333441 is the 844240-th centered octagonal number.

It is an amenable number.

2850961333441 is a deficient number, since it is larger than the sum of its proper divisors (300332826590).

2850961333441 is an frugal number, since it uses more digits than its factorization.

2850961333441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 2850961333441 by its sum of digits (49), we get a square (139697105338609 = 11819353²).

The spelling of 2850961333441 in words is "two trillion, eight hundred fifty billion, nine hundred sixty-one million, three hundred thirty-three thousand, four hundred forty-one".