11403406164808 has 288 divisors, whose sum is σ = 27293369644800. Its totient is φ = 4448128608000.

The previous prime is 11403406164781. The next prime is 11403406164811. The reversal of 11403406164808 is 80846160430411.

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 71 ways as a sum of consecutive naturals, for example, 609765858 + ... + 609784558.

It is an arithmetic number, because the mean of its divisors is an integer number (94768644600).

Almost surely, 2^{11403406164808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11403406164808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13646684822400).

11403406164808 is an abundant number, since it is smaller than the sum of its proper divisors (15889963479992).

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

11403406164808 is a wasteful number, since it uses less digits than its factorization.

11403406164808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18929 (or 18899 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 11403406164808 in words is "eleven trillion, four hundred three billion, four hundred six million, one hundred sixty-four thousand, eight hundred eight".