68146580401 has 9 divisors (see below), whose sum is σ = 68463653953. Its totient is φ = 67830972160.

The previous prime is 68146580393. The next prime is 68146580417. The reversal of 68146580401 is 10408564186.

The square root of 68146580401 is 261049.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13782994801 + 54363585600 = 117401^2 + 233160^2 .

It is not a de Polignac number, because 68146580401 - 2³ = 68146580393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68146580441) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 73354305 + ... + 73355233.

Almost surely, 2^68146580401 is an apocalyptic number.

68146580401 is the 261049-th square number.

68146580401 is the 130525-th centered octagonal number.

It is an amenable number.

68146580401 is a deficient number, since it is larger than the sum of its proper divisors (317073552).

68146580401 is an frugal number, since it uses more digits than its factorization.

68146580401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 68146580401 in words is "sixty-eight billion, one hundred forty-six million, five hundred eighty thousand, four hundred one".