14959199919552 has 224 divisors, whose sum is σ = 45377340426240. Its totient is φ = 4260507033600.

The previous prime is 14959199919551. The next prime is 14959199919571. The reversal of 14959199919552 is 25591999195941.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14959199919551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817388802 + ... + 817407102.

Almost surely, 2^{14959199919552} is an apocalyptic number.

14959199919552 is a gapful number since it is divisible by the number (12) 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 14959199919552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22688670213120).

14959199919552 is an abundant number, since it is smaller than the sum of its proper divisors (30418140506688).

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

14959199919552 is a wasteful number, since it uses less digits than its factorization.

14959199919552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20219 (or 20209 counting only the distinct ones).

The product of its digits is 531441000, while the sum is 78.

The spelling of 14959199919552 in words is "fourteen trillion, nine hundred fifty-nine billion, one hundred ninety-nine million, nine hundred nineteen thousand, five hundred fifty-two".