14181026112 has 336 divisors, whose sum is σ = 45912170304. Its totient is φ = 4147200000.

The previous prime is 14181026107. The next prime is 14181026131. The reversal of 14181026112 is 21162018141.

It is a happy number.

14181026112 is a `hidden beast` number, since 1 + 41 + 8 + 1 + 0 + 2 + 611 + 2 = 666.

It is a super-2 number, since 2×14181026112² (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 47 ways as a sum of consecutive naturals, for example, 56497987 + ... + 56498237.

It is an arithmetic number, because the mean of its divisors is an integer number (136643364).

Almost surely, 2^14181026112 is an apocalyptic number.

14181026112 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 14181026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22956085152).

14181026112 is an abundant number, since it is smaller than the sum of its proper divisors (31731144192).

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

14181026112 is a wasteful number, since it uses less digits than its factorization.

14181026112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 14181026112 in words is "fourteen billion, one hundred eighty-one million, twenty-six thousand, one hundred twelve".