11123268340032 has 168 divisors, whose sum is σ = 32409467054952. Its totient is φ = 3646527897600.

The previous prime is 11123268340031. The next prime is 11123268340043. The reversal of 11123268340032 is 23004386232111.

11123268340032 is a `hidden beast` number, since 1 + 1 + 1 + 23 + 268 + 340 + 0 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1236419459136 + 9886848880896 = 1111944^2 + 3144336^2 .

It is a super-2 number, since 2×11123268340032² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123268340031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413783232 + ... + 413810112.

Almost surely, 2^{11123268340032} is an apocalyptic number.

11123268340032 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 11123268340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204733527476).

11123268340032 is an abundant number, since it is smaller than the sum of its proper divisors (21286198714920).

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

11123268340032 is a wasteful number, since it uses less digits than its factorization.

11123268340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38737 (or 38724 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 11123268340032 in words is "eleven trillion, one hundred twenty-three billion, two hundred sixty-eight million, three hundred forty thousand, thirty-two".