67910537416225 has 243 divisors, whose sum is σ = 106355824479723. Its totient is φ = 42884781434880.

The previous prime is 67910537416157. The next prime is 67910537416273. The reversal of 67910537416225 is 52261473501976.

The square root of 67910537416225 is 8240785.

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 47912325828129 + 19998211588096 = 6921873^2 + 4471936^2 .

It is not a de Polignac number, because 67910537416225 - 2¹¹ = 67910537414177 is a prime.

It is a super-2 number, since 2×67910537416225² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67910537416225.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 192381125649 + ... + 192381126001.

Almost surely, 2^{67910537416225} is an apocalyptic number.

67910537416225 is the 8240785-th square number.

67910537416225 is the 4120393-rd centered octagonal number.

It is an amenable number.

67910537416225 is a deficient number, since it is larger than the sum of its proper divisors (38445287063498).

67910537416225 is an equidigital number, since it uses as much as digits as its factorization.

67910537416225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 58.

The spelling of 67910537416225 in words is "sixty-seven trillion, nine hundred ten billion, five hundred thirty-seven million, four hundred sixteen thousand, two hundred twenty-five".