14195954868480 has 2592 divisors, whose sum is σ = 65867787498240. Its totient is φ = 2844328919040.

The previous prime is 14195954868463. The next prime is 14195954868481. The reversal of 14195954868480 is 8486845959141.

It is a happy number.

14195954868480 is a `hidden beast` number, since 1 + 4 + 1 + 95 + 9 + 54 + 8 + 6 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 14195954868399 and 14195954868408.

It is not an unprimeable number, because it can be changed into a prime (14195954868481) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18752912262 + ... + 18752913018.

Almost surely, 2^{14195954868480} is an apocalyptic number.

14195954868480 is a gapful number since it is divisible by the number (10) 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 14195954868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32933893749120).

14195954868480 is an abundant number, since it is smaller than the sum of its proper divisors (51671832629760).

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

14195954868480 is an frugal number, since it uses more digits than its factorization.

14195954868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 14195954868480 in words is "fourteen trillion, one hundred ninety-five billion, nine hundred fifty-four million, eight hundred sixty-eight thousand, four hundred eighty".