16383744001 has 9 divisors (see below), whose sum is σ = 16933401603. Its totient is φ = 15851396160.

The previous prime is 16383743993. The next prime is 16383744019. The reversal of 16383744001 is 10044738361.

The square root of 16383744001 is 127999.

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., 9063230401 + 7320513600 = 95201^2 + 85560^2 .

It is not a de Polignac number, because 16383744001 - 2³ = 16383743993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16383744301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3965905 + ... + 3970033.

It is an arithmetic number, because the mean of its divisors is an integer number (1881489067).

Almost surely, 2^16383744001 is an apocalyptic number.

16383744001 is the 127999-th square number.

16383744001 is the 64000-th centered octagonal number.

It is an amenable number.

16383744001 is a deficient number, since it is larger than the sum of its proper divisors (549657602).

16383744001 is an frugal number, since it uses more digits than its factorization.

16383744001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

It can be divided in two parts, 16383 and 744001, that added together give a square (760384 = 872²).

The spelling of 16383744001 in words is "sixteen billion, three hundred eighty-three million, seven hundred forty-four thousand, one".