84212465260225 has 27 divisors (see below), whose sum is σ = 104616518791561. Its totient is φ = 67245645802400.

The previous prime is 84212465260159. The next prime is 84212465260249. The reversal of 84212465260225 is 52206256421248.

It is a happy number.

The square root of 84212465260225 is 9176735.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24264362736769 + 59948102523456 = 4925887^2 + 7742616^2 .

It is not a de Polignac number, because 84212465260225 - 2¹³ = 84212465252033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31063246620 + ... + 31063249330.

Almost surely, 2^{84212465260225} is an apocalyptic number.

84212465260225 is the 9176735-th square number.

84212465260225 is the 4588368-th centered octagonal number.

It is an amenable number.

84212465260225 is a deficient number, since it is larger than the sum of its proper divisors (20404053531336).

84212465260225 is an frugal number, since it uses more digits than its factorization.

84212465260225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6786 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 49.

The spelling of 84212465260225 in words is "eighty-four trillion, two hundred twelve billion, four hundred sixty-five million, two hundred sixty thousand, two hundred twenty-five".