14249089340640 has 2304 divisors, whose sum is σ = 69400486471680. Its totient is φ = 2568423997440.

The previous prime is 14249089340639. The next prime is 14249089340669. The reversal of 14249089340640 is 4604398094241.

14249089340640 is a `hidden beast` number, since 1 + 4 + 2 + 490 + 8 + 93 + 4 + 0 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1325121504 + ... + 1325132256.

It is an arithmetic number, because the mean of its divisors is an integer number (30121738920).

Almost surely, 2^{14249089340640} is an apocalyptic number.

14249089340640 is a gapful number since it is divisible by the number (10) 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 14249089340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34700243235840).

14249089340640 is an abundant number, since it is smaller than the sum of its proper divisors (55151397131040).

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

14249089340640 is a wasteful number, since it uses less digits than its factorization.

14249089340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10865 (or 10854 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 14249089340640 in words is "fourteen trillion, two hundred forty-nine billion, eighty-nine million, three hundred forty thousand, six hundred forty".