11688800593344 has 448 divisors, whose sum is σ = 36013098286080. Its totient is φ = 3277216972800.

The previous prime is 11688800593333. The next prime is 11688800593363. The reversal of 11688800593344 is 44339500888611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14448455212 + ... + 14448456020.

Almost surely, 2^{11688800593344} is an apocalyptic number.

11688800593344 is a gapful number since it is divisible by the number (14) 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 11688800593344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18006549143040).

11688800593344 is an abundant number, since it is smaller than the sum of its proper divisors (24324297692736).

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

11688800593344 is a wasteful number, since it uses less digits than its factorization.

11688800593344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 11688800593344 in words is "eleven trillion, six hundred eighty-eight billion, eight hundred million, five hundred ninety-three thousand, three hundred forty-four".