11310746112 has 240 divisors, whose sum is σ = 34427919240. Its totient is φ = 3569319936.

The previous prime is 11310746039. The next prime is 11310746123. The reversal of 11310746112 is 21164701311.

11310746112 is a `hidden beast` number, since 11 + 31 + 0 + 7 + 4 + 611 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9373337856 + 1937408256 = 96816^2 + 44016^2 .

It is a super-2 number, since 2×11310746112² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7081698 + ... + 7083294.

Almost surely, 2^11310746112 is an apocalyptic number.

11310746112 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 11310746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17213959620).

11310746112 is an abundant number, since it is smaller than the sum of its proper divisors (23117173128).

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

11310746112 is a wasteful number, since it uses less digits than its factorization.

11310746112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11310746112 in words is "eleven billion, three hundred ten million, seven hundred forty-six thousand, one hundred twelve".