66873442801 has 9 divisors (see below), whose sum is σ = 73508646603. Its totient is φ = 60791452920.

The previous prime is 66873442789. The next prime is 66873442813. The reversal of 66873442801 is 10824437866.

The square root of 66873442801 is 258599.

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

It is an interprime number because it is at equal distance from previous prime (66873442789) and next prime (66873442813).

It can be written as a sum of positive squares in only one way, i.e., 65740447201 + 1132995600 = 256399^2 + 33660^2 .

It is not a de Polignac number, because 66873442801 - 2¹³ = 66873434609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66873442841) 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, 2832835 + ... + 2856343.

Almost surely, 2^66873442801 is an apocalyptic number.

66873442801 is the 258599-th square number.

66873442801 is the 129300-th centered octagonal number.

It is an amenable number.

66873442801 is a deficient number, since it is larger than the sum of its proper divisors (6635203802).

66873442801 is an frugal number, since it uses more digits than its factorization.

66873442801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47040 (or 23520 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 66873442801 by its sum of digits (49), we get a square (3276798697249 = 1810193²).

The spelling of 66873442801 in words is "sixty-six billion, eight hundred seventy-three million, four hundred forty-two thousand, eight hundred one".