11868191290368 has 704 divisors, whose sum is σ = 41241486090240. Its totient is φ = 3342838947840.

The previous prime is 11868191290363. The next prime is 11868191290409. The reversal of 11868191290368 is 86309219186811.

11868191290368 is a `hidden beast` number, since 1 + 1 + 8 + 68 + 191 + 29 + 0 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11868191290363) 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, 1113020205 + ... + 1113030867.

Almost surely, 2^{11868191290368} is an apocalyptic number.

11868191290368 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 11868191290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20620743045120).

11868191290368 is an abundant number, since it is smaller than the sum of its proper divisors (29373294799872).

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

11868191290368 is an frugal number, since it uses more digits than its factorization.

11868191290368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10782 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 11868191290368 in words is "eleven trillion, eight hundred sixty-eight billion, one hundred ninety-one million, two hundred ninety thousand, three hundred sixty-eight".