11188493064000 has 2240 divisors, whose sum is σ = 50224922542080. Its totient is φ = 2401850880000.

The previous prime is 11188493063989. The next prime is 11188493064013. The reversal of 11188493064000 is 46039488111.

11188493064000 is a `hidden beast` number, since 1 + 118 + 8 + 493 + 0 + 6 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×11188493064000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11290103505 + ... + 11290104495.

Almost surely, 2^{11188493064000} is an apocalyptic number.

11188493064000 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 11188493064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25112461271040).

11188493064000 is an abundant number, since it is smaller than the sum of its proper divisors (39036429478080).

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

11188493064000 is a wasteful number, since it uses less digits than its factorization.

11188493064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11188493064000 in words is "eleven trillion, one hundred eighty-eight billion, four hundred ninety-three million, sixty-four thousand".