14021249493312 has 336 divisors, whose sum is σ = 43891156108800. Its totient is φ = 4263160688640.

The previous prime is 14021249493263. The next prime is 14021249493373. The reversal of 14021249493312 is 21339494212041.

14021249493312 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 1 + 249 + 4 + 93 + 312 = 666.

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, 66730114 + ... + 66939902.

It is an arithmetic number, because the mean of its divisors is an integer number (130628440800).

Almost surely, 2^{14021249493312} is an apocalyptic number.

14021249493312 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 14021249493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21945578054400).

14021249493312 is an abundant number, since it is smaller than the sum of its proper divisors (29869906615488).

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

14021249493312 is a wasteful number, since it uses less digits than its factorization.

14021249493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210054 (or 210041 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 14021249493312 in words is "fourteen trillion, twenty-one billion, two hundred forty-nine million, four hundred ninety-three thousand, three hundred twelve".