11818413288000 has 1344 divisors, whose sum is σ = 50659328378880. Its totient is φ = 2596188672000.

The previous prime is 11818413287957. The next prime is 11818413288007. The reversal of 11818413288000 is 88231481811.

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

It is not an unprimeable number, because it can be changed into a prime (11818413288007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346086927 + ... + 346121073.

Almost surely, 2^{11818413288000} is an apocalyptic number.

11818413288000 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 11818413288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25329664189440).

11818413288000 is an abundant number, since it is smaller than the sum of its proper divisors (38840915090880).

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

11818413288000 is a wasteful number, since it uses less digits than its factorization.

11818413288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34233 (or 34210 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 11818413288000 in words is "eleven trillion, eight hundred eighteen billion, four hundred thirteen million, two hundred eighty-eight thousand".