11316701774400 has 336 divisors, whose sum is σ = 40549541829888. Its totient is φ = 2740324608000.

The previous prime is 11316701774387. The next prime is 11316701774437. The reversal of 11316701774400 is 447710761311.

11316701774400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46501035 + ... + 46743765.

It is an arithmetic number, because the mean of its divisors is an integer number (120683160208).

Almost surely, 2^{11316701774400} is an apocalyptic number.

11316701774400 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 11316701774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20274770914944).

11316701774400 is an abundant number, since it is smaller than the sum of its proper divisors (29232840055488).

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

11316701774400 is a wasteful number, since it uses less digits than its factorization.

11316701774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243650 (or 243635 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 11316701774400 in words is "eleven trillion, three hundred sixteen billion, seven hundred one million, seven hundred seventy-four thousand, four hundred".