67358416225 has 9 divisors (see below), whose sum is σ = 83526045267. Its totient is φ = 53885694840.

The previous prime is 67358416201. The next prime is 67358416259. The reversal of 67358416225 is 52261485376.

The square root of 67358416225 is 259535.

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

It can be written as a sum of positive squares in only one way, i.e., 24249029841 + 43109386384 = 155721^2 + 207628^2 .

It is not a de Polignac number, because 67358416225 - 2¹⁷ = 67358285153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1271722 + ... + 1323628.

Almost surely, 2^67358416225 is an apocalyptic number.

67358416225 is the 259535-th square number.

67358416225 is the 129768-th centered octagonal number.

It is an amenable number.

67358416225 is a deficient number, since it is larger than the sum of its proper divisors (16167629042).

67358416225 is an frugal number, since it uses more digits than its factorization.

67358416225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103824 (or 51912 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

Multiplying 67358416225 by its sum of digits (49), we get a square (3300562395025 = 1816745²).

The spelling of 67358416225 in words is "sixty-seven billion, three hundred fifty-eight million, four hundred sixteen thousand, two hundred twenty-five".