11334104496 has 400 divisors, whose sum is σ = 40229925120. Its totient is φ = 3031395840.

The previous prime is 11334104489. The next prime is 11334104549. The reversal of 11334104496 is 69440143311.

11334104496 is a `hidden beast` number, since 113 + 3 + 410 + 44 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11334104496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4261215 + ... + 4263873.

Almost surely, 2^11334104496 is an apocalyptic number.

11334104496 is a gapful number since it is divisible by the number (16) 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 11334104496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20114962560).

11334104496 is an abundant number, since it is smaller than the sum of its proper divisors (28895820624).

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

11334104496 is a wasteful number, since it uses less digits than its factorization.

11334104496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11334104496 in words is "eleven billion, three hundred thirty-four million, one hundred four thousand, four hundred ninety-six".