10065384414801 has 15 divisors (see below), whose sum is σ = 15035987273593. Its totient is φ = 6710237240940.

The previous prime is 10065384414791. The next prime is 10065384414871. The reversal of 10065384414801 is 10841448356001.

The square root of 10065384414801 is 3172599.

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

10065384414801 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 53 + 84 + 41 + 480 + 1 = 666.

10065384414801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10065384414801 - 2²⁷ = 10065250197073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10065384414871) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28377136 + ... + 28729646.

Almost surely, 2^{10065384414801} is an apocalyptic number.

10065384414801 is the 3172599-th square number.

10065384414801 is the 1586300-th centered octagonal number.

It is an amenable number.

10065384414801 is a deficient number, since it is larger than the sum of its proper divisors (4970602858792).

10065384414801 is an frugal number, since it uses more digits than its factorization.

10065384414801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705034 (or 352514 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10065384414801 in words is "ten trillion, sixty-five billion, three hundred eighty-four million, four hundred fourteen thousand, eight hundred one".