11113913664 has 448 divisors, whose sum is σ = 39045611520. Its totient is φ = 3033262080.

The previous prime is 11113913641. The next prime is 11113913717. The reversal of 11113913664 is 46631931111.

It is a happy number.

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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40122294 + ... + 40122570.

Almost surely, 2^11113913664 is an apocalyptic number.

11113913664 is a gapful number since it is divisible by the number (14) 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 11113913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19522805760).

11113913664 is an abundant number, since it is smaller than the sum of its proper divisors (27931697856).

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

11113913664 is a wasteful number, since it uses less digits than its factorization.

11113913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The spelling of 11113913664 in words is "eleven billion, one hundred thirteen million, nine hundred thirteen thousand, six hundred sixty-four".