11818934400 has 768 divisors, whose sum is σ = 48786877440. Its totient is φ = 2448506880.

The previous prime is 11818934389. The next prime is 11818934411. The reversal of 11818934400 is 443981811.

It is an interprime number because it is at equal distance from previous prime (11818934389) and next prime (11818934411).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72508719 + ... + 72508881.

It is an arithmetic number, because the mean of its divisors is an integer number (63524580).

Almost surely, 2^11818934400 is an apocalyptic number.

11818934400 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 11818934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393438720).

11818934400 is an abundant number, since it is smaller than the sum of its proper divisors (36967943040).

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

11818934400 is a wasteful number, since it uses less digits than its factorization.

11818934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 11818934400 in words is "eleven billion, eight hundred eighteen million, nine hundred thirty-four thousand, four hundred".