14891648514048 has 288 divisors, whose sum is σ = 43905945283200. Its totient is φ = 4861101686784.

The previous prime is 14891648513993. The next prime is 14891648514049. The reversal of 14891648514048 is 84041584619841.

14891648514048 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 1 + 6 + 485 + 140 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×14891648514048² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14891648514049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285983311 + ... + 286035377.

It is an arithmetic number, because the mean of its divisors is an integer number (152451198900).

Almost surely, 2^{14891648514048} is an apocalyptic number.

14891648514048 is a gapful number since it is divisible by the number (18) 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 14891648514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21952972641600).

14891648514048 is an abundant number, since it is smaller than the sum of its proper divisors (29014296769152).

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

14891648514048 is a wasteful number, since it uses less digits than its factorization.

14891648514048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52417 (or 52394 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 14891648514048 in words is "fourteen trillion, eight hundred ninety-one billion, six hundred forty-eight million, five hundred fourteen thousand, forty-eight".