1366167244800 has 936 divisors, whose sum is σ = 4854221976576. Its totient is φ = 338889277440.

The previous prime is 1366167244787. The next prime is 1366167244811. The reversal of 1366167244800 is 84427616631.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1366167244800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10757222337 + ... + 10757222463.

Almost surely, 2^{1366167244800} is an apocalyptic number.

1366167244800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1366167244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427110988288).

1366167244800 is an abundant number, since it is smaller than the sum of its proper divisors (3488054731776).

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

1366167244800 is a wasteful number, since it uses less digits than its factorization.

1366167244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 1366167244800 in words is "one trillion, three hundred sixty-six billion, one hundred sixty-seven million, two hundred forty-four thousand, eight hundred".