16612011717201 has 12 divisors (see below), whose sum is σ = 23999647812660. Its totient is φ = 11072588427360.

The previous prime is 16612011717187. The next prime is 16612011717233. The reversal of 16612011717201 is 10271711021661.

16612011717201 is a `hidden beast` number, since 1 + 6 + 612 + 0 + 1 + 1 + 7 + 17 + 20 + 1 = 666.

16612011717201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 891421110801 + 15720590606400 = 944151^2 + 3964920^2 .

It is not a de Polignac number, because 16612011717201 - 2²¹ = 16612009620049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16612011710201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173787130 + ... + 173882691.

It is an arithmetic number, because the mean of its divisors is an integer number (1999970651055).

Almost surely, 2^{16612011717201} is an apocalyptic number.

It is an amenable number.

16612011717201 is a deficient number, since it is larger than the sum of its proper divisors (7387636095459).

16612011717201 is a wasteful number, since it uses less digits than its factorization.

16612011717201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347675136 (or 347675133 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

Adding to 16612011717201 its reverse (10271711021661), we get a palindrome (26883722738862).

The spelling of 16612011717201 in words is "sixteen trillion, six hundred twelve billion, eleven million, seven hundred seventeen thousand, two hundred one".