14019125912064 has 1600 divisors, whose sum is σ = 54007192318464. Its totient is φ = 3518970200064.

The previous prime is 14019125911997. The next prime is 14019125912069. The reversal of 14019125912064 is 46021952191041.

14019125912064 is a `hidden beast` number, since 1 + 4 + 0 + 191 + 259 + 1 + 206 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (14019125912069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32376733992 + ... + 32376734424.

Almost surely, 2^{14019125912064} is an apocalyptic number.

14019125912064 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 14019125912064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27003596159232).

14019125912064 is an abundant number, since it is smaller than the sum of its proper divisors (39988066406400).

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

14019125912064 is a wasteful number, since it uses less digits than its factorization.

14019125912064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 14019125912064 in words is "fourteen trillion, nineteen billion, one hundred twenty-five million, nine hundred twelve thousand, sixty-four".