14149582941312 has 2304 divisors, whose sum is σ = 56594834150400. Its totient is φ = 3433511337984.

The previous prime is 14149582941311. The next prime is 14149582941313. The reversal of 14149582941312 is 21314928594141.

It is a happy number.

14149582941312 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 9 + 582 + 9 + 41 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (14149582941311) and next prime (14149582941313).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14149582941311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25867610223 + ... + 25867610769.

It is an arithmetic number, because the mean of its divisors is an integer number (24563730100).

Almost surely, 2^{14149582941312} is an apocalyptic number.

14149582941312 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 14149582941312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28297417075200).

14149582941312 is an abundant number, since it is smaller than the sum of its proper divisors (42445251209088).

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

14149582941312 is a wasteful number, since it uses less digits than its factorization.

14149582941312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 628 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 14149582941312 in words is "fourteen trillion, one hundred forty-nine billion, five hundred eighty-two million, nine hundred forty-one thousand, three hundred twelve".