66254258188801 has 8 divisors (see below), whose sum is σ = 66495410613224. Its totient is φ = 66013119918720.

The previous prime is 66254258188771. The next prime is 66254258188829. The reversal of 66254258188801 is 10888185245266.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11588307201 + 66242669881600 = 107649^2 + 8138960^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66254258188801 - 2¹³ = 66254258180609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66254258788801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5885731 + ... + 12928663.

It is an arithmetic number, because the mean of its divisors is an integer number (8311926326653).

Almost surely, 2^{66254258188801} is an apocalyptic number.

It is an amenable number.

66254258188801 is a deficient number, since it is larger than the sum of its proper divisors (241152424423).

66254258188801 is a wasteful number, since it uses less digits than its factorization.

66254258188801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077171.

The product of its (nonzero) digits is 58982400, while the sum is 64.

The spelling of 66254258188801 in words is "sixty-six trillion, two hundred fifty-four billion, two hundred fifty-eight million, one hundred eighty-eight thousand, eight hundred one".