16142323098001 has 9 divisors (see below), whose sum is σ = 16200705799611. Its totient is φ = 16084150081272.

The previous prime is 16142323097981. The next prime is 16142323098017. The reversal of 16142323098001 is 10089032324161.

It is a happy number.

The square root of 16142323098001 is 4017751.

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., 15979006890625 + 163316207376 = 3997375^2 + 404124^2 .

It is not a de Polignac number, because 16142323098001 - 2⁵ = 16142323097969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16142323398001) 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, 1137016435 + ... + 1137030631.

It is an arithmetic number, because the mean of its divisors is an integer number (1800078422179).

Almost surely, 2^{16142323098001} is an apocalyptic number.

16142323098001 is the 4017751-st square number.

16142323098001 is the 2008876-th centered octagonal number.

It is an amenable number.

16142323098001 is a deficient number, since it is larger than the sum of its proper divisors (58382701610).

16142323098001 is an frugal number, since it uses more digits than its factorization.

16142323098001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28960 (or 14480 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 16142323098001 in words is "sixteen trillion, one hundred forty-two billion, three hundred twenty-three million, ninety-eight thousand, one".