11349086112 has 576 divisors, whose sum is σ = 41857320960. Its totient is φ = 2836684800.

The previous prime is 11349086107. The next prime is 11349086131. The reversal of 11349086112 is 21168094311.

11349086112 is a `hidden beast` number, since 1 + 1 + 34 + 9 + 0 + 8 + 611 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49559214 + ... + 49559442.

It is an arithmetic number, because the mean of its divisors is an integer number (72668960).

Almost surely, 2^11349086112 is an apocalyptic number.

11349086112 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 11349086112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20928660480).

11349086112 is an abundant number, since it is smaller than the sum of its proper divisors (30508234848).

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

11349086112 is a wasteful number, since it uses less digits than its factorization.

11349086112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11349086112 in words is "eleven billion, three hundred forty-nine million, eighty-six thousand, one hundred twelve".