1366207984801 has 27 divisors (see below), whose sum is σ = 1528432279059. Its totient is φ = 1220278356000.

The previous prime is 1366207984783. The next prime is 1366207984829. The reversal of 1366207984801 is 1084897026631.

The square root of 1366207984801 is 1168849.

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., 177410282401 + 1188797702400 = 421201^2 + 1090320^2 .

It is not a de Polignac number, because 1366207984801 - 2⁵ = 1366207984769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1366207984601) 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, 758582101 + ... + 758583901.

Almost surely, 2^{1366207984801} is an apocalyptic number.

1366207984801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1366207984801 is the 1168849-th square number.

1366207984801 is the 584425-th centered octagonal number.

It is an amenable number.

1366207984801 is a deficient number, since it is larger than the sum of its proper divisors (162224294258).

1366207984801 is an frugal number, since it uses more digits than its factorization.

1366207984801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 1366207984801 in words is "one trillion, three hundred sixty-six billion, two hundred seven million, nine hundred eighty-four thousand, eight hundred one".