11485031042112 has 168 divisors, whose sum is σ = 32123063841120. Its totient is φ = 3620746229760.

The previous prime is 11485031042053. The next prime is 11485031042119. The reversal of 11485031042112 is 21124013058411.

It is not an unprimeable number, because it can be changed into a prime (11485031042119) 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, 8404287 + ... + 9674817.

It is an arithmetic number, because the mean of its divisors is an integer number (191208713340).

Almost surely, 2^{11485031042112} is an apocalyptic number.

11485031042112 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 11485031042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061531920560).

11485031042112 is an abundant number, since it is smaller than the sum of its proper divisors (20638032799008).

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

11485031042112 is a wasteful number, since it uses less digits than its factorization.

11485031042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270681 (or 1270648 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 11485031042112 in words is "eleven trillion, four hundred eighty-five billion, thirty-one million, forty-two thousand, one hundred twelve".