11818672262208 has 448 divisors, whose sum is σ = 42098973073920. Its totient is φ = 3173976244224.

The previous prime is 11818672262153. The next prime is 11818672262219. The reversal of 11818672262208 is 80226227681811.

11818672262208 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 8 + 6 + 7 + 2 + 2 + 622 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158916360 + ... + 158990712.

It is an arithmetic number, because the mean of its divisors is an integer number (93970922040).

Almost surely, 2^{11818672262208} is an apocalyptic number.

11818672262208 is a gapful number since it is divisible by the number (18) 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 11818672262208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21049486536960).

11818672262208 is an abundant number, since it is smaller than the sum of its proper divisors (30280300811712).

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

11818672262208 is a wasteful number, since it uses less digits than its factorization.

11818672262208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75171 (or 75155 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 11818672262208 in words is "eleven trillion, eight hundred eighteen billion, six hundred seventy-two million, two hundred sixty-two thousand, two hundred eight".