11738003321088 has 1008 divisors, whose sum is σ = 39248528256000. Its totient is φ = 3471967825920.

The previous prime is 11738003321087. The next prime is 11738003321153. The reversal of 11738003321088 is 88012330083711.

11738003321088 is a `hidden beast` number, since 1 + 173 + 80 + 0 + 3 + 321 + 0 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (11738003321087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24102675981 + ... + 24102676467.

It is an arithmetic number, because the mean of its divisors is an integer number (38937032000).

Almost surely, 2^{11738003321088} is an apocalyptic number.

11738003321088 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 11738003321088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624264128000).

11738003321088 is an abundant number, since it is smaller than the sum of its proper divisors (27510524934912).

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

11738003321088 is an equidigital number, since it uses as much as digits as its factorization.

11738003321088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11738003321088 in words is "eleven trillion, seven hundred thirty-eight billion, three million, three hundred twenty-one thousand, eighty-eight".