11450138112 has 720 divisors, whose sum is σ = 43117485840. Its totient is φ = 2898395136.

The previous prime is 11450138081. The next prime is 11450138137. The reversal of 11450138112 is 21183105411.

11450138112 is a `hidden beast` number, since 1 + 14 + 501 + 38 + 112 = 666.

It is a super-2 number, since 2×11450138112² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72930738 + ... + 72930894.

It is an arithmetic number, because the mean of its divisors is an integer number (59885397).

Almost surely, 2^11450138112 is an apocalyptic number.

11450138112 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 11450138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21558742920).

11450138112 is an abundant number, since it is smaller than the sum of its proper divisors (31667347728).

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

11450138112 is a wasteful number, since it uses less digits than its factorization.

11450138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 11450138112 in words is "eleven billion, four hundred fifty million, one hundred thirty-eight thousand, one hundred twelve".