11316388497408 has 240 divisors, whose sum is σ = 33946388215740. Its totient is φ = 3755927273472.

The previous prime is 11316388497311. The next prime is 11316388497451. The reversal of 11316388497408 is 80479488361311.

11316388497408 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 63 + 8 + 84 + 97 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11297988117504 + 18400379904 = 3361248^2 + 135648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38505516 + ... + 38798292.

Almost surely, 2^{11316388497408} is an apocalyptic number.

11316388497408 is a gapful number since it is divisible by the number (18) 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 11316388497408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16973194107870).

11316388497408 is an abundant number, since it is smaller than the sum of its proper divisors (22629999718332).

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

11316388497408 is an equidigital number, since it uses as much as digits as its factorization.

11316388497408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293044 (or 293015 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 11316388497408 in words is "eleven trillion, three hundred sixteen billion, three hundred eighty-eight million, four hundred ninety-seven thousand, four hundred eight".