16801399300401 has 21 divisors (see below), whose sum is σ = 25190741289819. Its totient is φ = 11200859085816.

The previous prime is 16801399300339. The next prime is 16801399300403. The reversal of 16801399300401 is 10400399310861.

The square root of 16801399300401 is 4098951.

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

16801399300401 is a `hidden beast` number, since 1 + 6 + 80 + 139 + 9 + 30 + 0 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5533128225 + 16795866172176 = 74385^2 + 4098276^2 .

It is not a de Polignac number, because 16801399300401 - 2¹⁷ = 16801399169329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16801399300403) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 110595771 + ... + 110747583.

It is an arithmetic number, because the mean of its divisors is an integer number (1199559109039).

Almost surely, 2^{16801399300401} is an apocalyptic number.

16801399300401 is the 4098951-st square number.

16801399300401 is the 2049476-th centered octagonal number.

It is an amenable number.

16801399300401 is a deficient number, since it is larger than the sum of its proper divisors (8389341989418).

16801399300401 is an frugal number, since it uses more digits than its factorization.

16801399300401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303644 (or 151816 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 16801399300401 in words is "sixteen trillion, eight hundred one billion, three hundred ninety-nine million, three hundred thousand, four hundred one".