11668193208000 has 3136 divisors, whose sum is σ = 53356727424000. Its totient is φ = 2518416230400.

The previous prime is 11668193207987. The next prime is 11668193208029. The reversal of 11668193208000 is 80239186611.

It is a tau number, because it is divible by the number of its divisors (3136).

It is a super-2 number, since 2×11668193208000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 38007143847 + ... + 38007144153.

Almost surely, 2^{11668193208000} is an apocalyptic number.

11668193208000 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 11668193208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26678363712000).

11668193208000 is an abundant number, since it is smaller than the sum of its proper divisors (41688534216000).

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

11668193208000 is an frugal number, since it uses more digits than its factorization.

11668193208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11668193208000 in words is "eleven trillion, six hundred sixty-eight billion, one hundred ninety-three million, two hundred eight thousand".