11349031680 has 864 divisors, whose sum is σ = 48671400960. Its totient is φ = 2384363520.

The previous prime is 11349031637. The next prime is 11349031697. The reversal of 11349031680 is 8613094311.

11349031680 is a `hidden beast` number, since 1 + 1 + 3 + 490 + 3 + 168 + 0 = 666.

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

It is a congruent number.

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, 53786775 + ... + 53786985.

It is an arithmetic number, because the mean of its divisors is an integer number (56332640).

Almost surely, 2^11349031680 is an apocalyptic number.

11349031680 is a gapful number since it is divisible by the number (10) 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 11349031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24335700480).

11349031680 is an abundant number, since it is smaller than the sum of its proper divisors (37322369280).

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

11349031680 is a wasteful number, since it uses less digits than its factorization.

11349031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11349031680 in words is "eleven billion, three hundred forty-nine million, thirty-one thousand, six hundred eighty".