1366266144 has 96 divisors (see below), whose sum is σ = 3739006656. Its totient is φ = 436423680.

The previous prime is 1366266101. The next prime is 1366266157. The reversal of 1366266144 is 4416626631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235114 + ... + 240854.

It is an arithmetic number, because the mean of its divisors is an integer number (38947986).

Almost surely, 2^1366266144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1366266144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869503328).

1366266144 is an abundant number, since it is smaller than the sum of its proper divisors (2372740512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1366266144 is a wasteful number, since it uses less digits than its factorization.

1366266144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858 (or 5850 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 1366266144 is about 36963.0375375185. The cubic root of 1366266144 is about 1109.6306278493.

The spelling of 1366266144 in words is "one billion, three hundred sixty-six million, two hundred sixty-six thousand, one hundred forty-four".