16367696581401 has 27 divisors (see below), whose sum is σ = 25987124175103. Its totient is φ = 9919735195920.

The previous prime is 16367696581361. The next prime is 16367696581487. The reversal of 16367696581401 is 10418569676361.

It is a happy number.

The square root of 16367696581401 is 4045701.

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

16367696581401 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 7 + 6 + 9 + 6 + 581 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45094646025 + 16322601935376 = 212355^2 + 4040124^2 .

It is not a de Polignac number, because 16367696581401 - 2¹⁵ = 16367696548633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16367696581801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 133446835 + ... + 133569431.

Almost surely, 2^{16367696581401} is an apocalyptic number.

16367696581401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16367696581401 is the 4045701-st square number.

16367696581401 is the 2022851-st centered octagonal number.

It is an amenable number.

16367696581401 is a deficient number, since it is larger than the sum of its proper divisors (9619427593702).

16367696581401 is an frugal number, since it uses more digits than its factorization.

16367696581401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245222 (or 122611 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 16367696581401 in words is "sixteen trillion, three hundred sixty-seven billion, six hundred ninety-six million, five hundred eighty-one thousand, four hundred one".