14514154242048 has 1440 divisors, whose sum is σ = 49329860025600. Its totient is φ = 4229972361216.

The previous prime is 14514154242037. The next prime is 14514154242067. The reversal of 14514154242048 is 84024245141541.

14514154242048 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 4 + 15 + 424 + 204 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14514154241994 and 14514154242012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 246002614243 + ... + 246002614301.

It is an arithmetic number, because the mean of its divisors is an integer number (34256847240).

Almost surely, 2^{14514154242048} is an apocalyptic number.

14514154242048 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 14514154242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24664930012800).

14514154242048 is an abundant number, since it is smaller than the sum of its proper divisors (34815705783552).

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

14514154242048 is an frugal number, since it uses more digits than its factorization.

14514154242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

Adding to 14514154242048 its reverse (84024245141541), we get a palindrome (98538399383589).

The spelling of 14514154242048 in words is "fourteen trillion, five hundred fourteen billion, one hundred fifty-four million, two hundred forty-two thousand, forty-eight".