67800348225 has 27 divisors (see below), whose sum is σ = 121444953123. Its totient is φ = 36158102640.

The previous prime is 67800348223. The next prime is 67800348229. The reversal of 67800348225 is 52284300876.

The square root of 67800348225 is 260385.

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

67800348225 is a `hidden beast` number, since 6 + 7 + 80 + 0 + 348 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24408125361 + 43392222864 = 156231^2 + 208308^2 .

It is not a de Polignac number, because 67800348225 - 2¹ = 67800348223 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 (67800348223) 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 26 ways as a sum of consecutive naturals, for example, 3897096 + ... + 3914454.

Almost surely, 2^67800348225 is an apocalyptic number.

67800348225 is the 260385-th square number.

67800348225 is the 130193-rd centered octagonal number.

It is an amenable number.

67800348225 is a deficient number, since it is larger than the sum of its proper divisors (53644604898).

67800348225 is an frugal number, since it uses more digits than its factorization.

67800348225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34734 (or 17367 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

It can be divided in two parts, 67800 and 348225, that added together give a square (416025 = 645²).

The spelling of 67800348225 in words is "sixty-seven billion, eight hundred million, three hundred forty-eight thousand, two hundred twenty-five".