14759825144064 has 2592 divisors, whose sum is σ = 56852265222144. Its totient is φ = 3321077760000.

The previous prime is 14759825144047. The next prime is 14759825144131. The reversal of 14759825144064 is 46044152895741.

It is a junction number, because it is equal to n+sod(n) for n = 14759825143989 and 14759825144007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 207884861149 + ... + 207884861219.

Almost surely, 2^{14759825144064} is an apocalyptic number.

14759825144064 is a gapful number since it is divisible by the number (14) 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 14759825144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28426132611072).

14759825144064 is an abundant number, since it is smaller than the sum of its proper divisors (42092440078080).

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

14759825144064 is a wasteful number, since it uses less digits than its factorization.

14759825144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 14759825144064 in words is "fourteen trillion, seven hundred fifty-nine billion, eight hundred twenty-five million, one hundred forty-four thousand, sixty-four".