11768340168000 has 1344 divisors, whose sum is σ = 48114975924288. Its totient is φ = 2720032358400.

The previous prime is 11768340167953. The next prime is 11768340168029. The reversal of 11768340168000 is 86104386711.

It can be written as a sum of positive squares in 32 ways, for example, as 9485315870976 + 2283024297024 = 3079824^2 + 1510968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12045383512 + ... + 12045384488.

It is an arithmetic number, because the mean of its divisors is an integer number (35799833277).

Almost surely, 2^{11768340168000} is an apocalyptic number.

11768340168000 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 11768340168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24057487962144).

11768340168000 is an abundant number, since it is smaller than the sum of its proper divisors (36346635756288).

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

11768340168000 is a wasteful number, since it uses less digits than its factorization.

11768340168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11768340168000 in words is "eleven trillion, seven hundred sixty-eight billion, three hundred forty million, one hundred sixty-eight thousand".