10066348908001 has 3 divisors (see below), whose sum is σ = 10066352080753. Its totient is φ = 10066345735250.

The previous prime is 10066348907999. The next prime is 10066348908013. The reversal of 10066348908001 is 10080984366001.

The square root of 10066348908001 is 3172751.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 10066348908001 - 2¹ = 10066348907999 is a prime.

It is a super-2 number, since 2×10066348908001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10066348908041) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1586376 + ... + 4759126.

Almost surely, 2^{10066348908001} is an apocalyptic number.

10066348908001 is the 3172751-st square number.

10066348908001 is the 1586376-th centered octagonal number.

It is an amenable number.

10066348908001 is a deficient number, since it is larger than the sum of its proper divisors (3172752).

10066348908001 is an frugal number, since it uses more digits than its factorization.

10066348908001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345502 (or 3172751 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 10066348908001 in words is "ten trillion, sixty-six billion, three hundred forty-eight million, nine hundred eight thousand, one".