11450642112 has 896 divisors, whose sum is σ = 44788531200. Its totient is φ = 2821754880.

The previous prime is 11450642107. The next prime is 11450642113. The reversal of 11450642112 is 21124605411.

11450642112 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 642 + 1 + 12 = 666.

It is a super-2 number, since 2×11450642112² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11450642113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 369375537 + ... + 369375567.

It is an arithmetic number, because the mean of its divisors is an integer number (49987200).

Almost surely, 2^11450642112 is an apocalyptic number.

11450642112 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 11450642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22394265600).

11450642112 is an abundant number, since it is smaller than the sum of its proper divisors (33337889088).

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

11450642112 is an equidigital number, since it uses as much as digits as its factorization.

11450642112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11450642112 in words is "eleven billion, four hundred fifty million, six hundred forty-two thousand, one hundred twelve".