11312106624 has 256 divisors, whose sum is σ = 41092128000. Its totient is φ = 2983329792.

The previous prime is 11312106571. The next prime is 11312106649. The reversal of 11312106624 is 42660121311.

It is a happy number.

11312106624 is a `hidden beast` number, since 1 + 1 + 31 + 2 + 1 + 0 + 6 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296512 + ... + 332480.

It is an arithmetic number, because the mean of its divisors is an integer number (160516125).

Almost surely, 2^11312106624 is an apocalyptic number.

11312106624 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 11312106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20546064000).

11312106624 is an abundant number, since it is smaller than the sum of its proper divisors (29780021376).

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

11312106624 is a wasteful number, since it uses less digits than its factorization.

11312106624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36012 (or 35994 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11312106624 its reverse (42660121311), we get a palindrome (53972227935).

The spelling of 11312106624 in words is "eleven billion, three hundred twelve million, one hundred six thousand, six hundred twenty-four".