1336443204096 has 2240 divisors, whose sum is σ = 5560281619200. Its totient is φ = 316036546560.

The previous prime is 1336443204079. The next prime is 1336443204113. The reversal of 1336443204096 is 6904023446331.

1336443204096 is a `hidden beast` number, since 1 + 33 + 64 + 432 + 0 + 40 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1336443204079) and next prime (1336443204113).

It is a super-2 number, since 2×1336443204096² (a number of 25 digits) contains 22 as substring.

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 223 ways as a sum of consecutive naturals, for example, 18307441116 + ... + 18307441188.

It is an arithmetic number, because the mean of its divisors is an integer number (2482268580).

Almost surely, 2^{1336443204096} is an apocalyptic number.

1336443204096 is a gapful number since it is divisible by the number (16) 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 1336443204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780140809600).

1336443204096 is an abundant number, since it is smaller than the sum of its proper divisors (4223838415104).

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

1336443204096 is an frugal number, since it uses more digits than its factorization.

1336443204096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 1336443204096 in words is "one trillion, three hundred thirty-six billion, four hundred forty-three million, two hundred four thousand, ninety-six".