14881134312 has 192 divisors, whose sum is σ = 44626982400. Its totient is φ = 4442273280.

The previous prime is 14881134299. The next prime is 14881134349. The reversal of 14881134312 is 21343118841.

14881134312 is a `hidden beast` number, since 148 + 81 + 1 + 3 + 431 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 19250758 + ... + 19251530.

It is an arithmetic number, because the mean of its divisors is an integer number (232432200).

Almost surely, 2^14881134312 is an apocalyptic number.

14881134312 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 14881134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22313491200).

14881134312 is an abundant number, since it is smaller than the sum of its proper divisors (29745848088).

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

14881134312 is a wasteful number, since it uses less digits than its factorization.

14881134312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1121 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 14881134312 in words is "fourteen billion, eight hundred eighty-one million, one hundred thirty-four thousand, three hundred twelve".