66875480574049 has 9 divisors (see below), whose sum is σ = 77793992972307. Its totient is φ = 57321791425584.

The previous prime is 66875480574043. The next prime is 66875480574127. The reversal of 66875480574049 is 94047508457866.

The square root of 66875480574049 is 8177743.

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., 66452772548449 + 422708025600 = 8151857^2 + 650160^2 .

It is not a de Polignac number, because 66875480574049 - 2⁴¹ = 64676457318497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66875480574043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56660077 + ... + 57828325.

It is an arithmetic number, because the mean of its divisors is an integer number (8643776996923).

Almost surely, 2^{66875480574049} is an apocalyptic number.

66875480574049 is the 8177743-rd square number.

66875480574049 is the 4088872-nd centered octagonal number.

It is an amenable number.

66875480574049 is a deficient number, since it is larger than the sum of its proper divisors (10918512398258).

66875480574049 is an frugal number, since it uses more digits than its factorization.

66875480574049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336512 (or 1168256 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 73.

The spelling of 66875480574049 in words is "sixty-six trillion, eight hundred seventy-five billion, four hundred eighty million, five hundred seventy-four thousand, forty-nine".