16830514455001 has 81 divisors (see below), whose sum is σ = 19232068450077. Its totient is φ = 14721742788480.

The previous prime is 16830514454981. The next prime is 16830514455017. The reversal of 16830514455001 is 10055441503861.

It is a happy number.

The square root of 16830514455001 is 4102501.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11210409758025 + 5620104696976 = 3348195^2 + 2370676^2 .

It is not a de Polignac number, because 16830514455001 - 2¹⁵ = 16830514422233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16830514458001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 94025220330 + ... + 94025220508.

Almost surely, 2^{16830514455001} is an apocalyptic number.

16830514455001 is the 4102501-st square number.

16830514455001 is the 2051251-st centered octagonal number.

It is an amenable number.

16830514455001 is a deficient number, since it is larger than the sum of its proper divisors (2401553995076).

16830514455001 is an frugal number, since it uses more digits than its factorization.

16830514455001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

Adding to 16830514455001 its reverse (10055441503861), we get a palindrome (26885955958862).

The spelling of 16830514455001 in words is "sixteen trillion, eight hundred thirty billion, five hundred fourteen million, four hundred fifty-five thousand, one".