1366808500 has 72 divisors (see below), whose sum is σ = 3168606168. Its totient is φ = 513280000.

The previous prime is 1366808479. The next prime is 1366808503. The reversal of 1366808500 is 58086631.

It can be written as a sum of positive squares in 12 ways, for example, as 36893476 + 1329915024 = 6074^2 + 36468^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1366808500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1366808503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3408300 + ... + 3408700.

It is an arithmetic number, because the mean of its divisors is an integer number (44008419).

Almost surely, 2^1366808500 is an apocalyptic number.

1366808500 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 1366808500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584303084).

1366808500 is an abundant number, since it is smaller than the sum of its proper divisors (1801797668).

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

1366808500 is an equidigital number, since it uses as much as digits as its factorization.

1366808500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 1366808500 is about 36970.3732737445. The cubic root of 1366808500 is about 1109.7774355598. Note that the first 3 decimals are identical.

The spelling of 1366808500 in words is "one billion, three hundred sixty-six million, eight hundred eight thousand, five hundred".