182231775455625 has 315 divisors, whose sum is σ = 397300004088867. Its totient is φ = 83276795952000.

The previous prime is 182231775455581. The next prime is 182231775455687. The reversal of 182231775455625 is 526554577132281.

The square root of 182231775455625 is 13499325.

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

182231775455625 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 3 + 1 + 7 + 7 + 54 + 556 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 110358953904969 + 71872821550656 = 10505187^2 + 8477784^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is not a de Polignac number, because 182231775455625 - 2¹⁹ = 182231774931337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 63784309197 + ... + 63784312053.

Almost surely, 2^{182231775455625} is an apocalyptic number.

182231775455625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

182231775455625 is the 13499325-th square number.

182231775455625 is the 6749663-rd centered octagonal number.

It is an amenable number.

182231775455625 is an abundant number, since it is smaller than the sum of its proper divisors (215068228633242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

182231775455625 is an frugal number, since it uses more digits than its factorization.

182231775455625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766 (or 2872 counting only the distinct ones).

The product of its digits is 141120000, while the sum is 63.

The spelling of 182231775455625 in words is "one hundred eighty-two trillion, two hundred thirty-one billion, seven hundred seventy-five million, four hundred fifty-five thousand, six hundred twenty-five".