11134098404352 has 2640 divisors, whose sum is σ = 44498630043648. Its totient is φ = 2738983403520.

The previous prime is 11134098404329. The next prime is 11134098404353. The reversal of 11134098404352 is 25340489043111.

11134098404352 is a `hidden beast` number, since 1 + 1 + 134 + 0 + 9 + 84 + 0 + 435 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11134098404298 and 11134098404307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134098404353) 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 239 ways as a sum of consecutive naturals, for example, 87670066113 + ... + 87670066239.

Almost surely, 2^{11134098404352} is an apocalyptic number.

11134098404352 is a gapful number since it is divisible by the number (12) 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 11134098404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22249315021824).

11134098404352 is an abundant number, since it is smaller than the sum of its proper divisors (33364531639296).

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

11134098404352 is a wasteful number, since it uses less digits than its factorization.

11134098404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11134098404352 in words is "eleven trillion, one hundred thirty-four billion, ninety-eight million, four hundred four thousand, three hundred fifty-two".