11386769343840 has 384 divisors, whose sum is σ = 43483789923840. Its totient is φ = 2759982336000.

The previous prime is 11386769343811. The next prime is 11386769343847. The reversal of 11386769343840 is 4834396768311.

It is a happy number.

11386769343840 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 6 + 76 + 93 + 438 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11386769343847) 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 63 ways as a sum of consecutive naturals, for example, 366696315 + ... + 366727365.

It is an arithmetic number, because the mean of its divisors is an integer number (113239036260).

Almost surely, 2^{11386769343840} is an apocalyptic number.

11386769343840 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 11386769343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21741894961920).

11386769343840 is an abundant number, since it is smaller than the sum of its proper divisors (32097020580000).

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

11386769343840 is a wasteful number, since it uses less digits than its factorization.

11386769343840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38803 (or 38789 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 11386769343840 in words is "eleven trillion, three hundred eighty-six billion, seven hundred sixty-nine million, three hundred forty-three thousand, eight hundred forty".