84149307225 has 81 divisors (see below), whose sum is σ = 153216118237. Its totient is φ = 44148616320.

The previous prime is 84149307223. The next prime is 84149307257. The reversal of 84149307225 is 52270394148.

The square root of 84149307225 is 290085.

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

84149307225 is a `hidden beast` number, since 8 + 414 + 9 + 3 + 0 + 7 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16572185289 + 67577121936 = 128733^2 + 259956^2 .

It is not a de Polignac number, because 84149307225 - 2¹ = 84149307223 is a prime.

It is a super-2 number, since 2×84149307225² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84149307223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 361155709 + ... + 361155941.

Almost surely, 2^84149307225 is an apocalyptic number.

84149307225 is the 290085-th square number.

84149307225 is the 145043-rd centered octagonal number.

It is an amenable number.

84149307225 is a deficient number, since it is larger than the sum of its proper divisors (69066811012).

84149307225 is an equidigital number, since it uses as much as digits as its factorization.

84149307225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 84149307225 in words is "eighty-four billion, one hundred forty-nine million, three hundred seven thousand, two hundred twenty-five".