86444820225 has 81 divisors (see below), whose sum is σ = 164618584923. Its totient is φ = 43354275840.

The previous prime is 86444820211. The next prime is 86444820229. The reversal of 86444820225 is 52202844468.

The square root of 86444820225 is 294015.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8664072561 + 77780747664 = 93081^2 + 278892^2 .

It is not a de Polignac number, because 86444820225 - 2¹¹ = 86444818177 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (86444820229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 74973249 + ... + 74974401.

Almost surely, 2^86444820225 is an apocalyptic number.

86444820225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

86444820225 is the 294015-th square number.

86444820225 is the 147008-th centered octagonal number.

It is an amenable number.

86444820225 is a deficient number, since it is larger than the sum of its proper divisors (78173764698).

86444820225 is a wasteful number, since it uses less digits than its factorization.

86444820225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 86444820225 in words is "eighty-six billion, four hundred forty-four million, eight hundred twenty thousand, two hundred twenty-five".