14463260460000 has 720 divisors, whose sum is σ = 56143642883328. Its totient is φ = 3501532800000.

The previous prime is 14463260459983. The next prime is 14463260460053. The reversal of 14463260460000 is 6406236441.

14463260460000 is a `hidden beast` number, since 1 + 4 + 46 + 3 + 2 + 6 + 0 + 4 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1605775497 + ... + 1605784503.

Almost surely, 2^{14463260460000} is an apocalyptic number.

14463260460000 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 14463260460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28071821441664).

14463260460000 is an abundant number, since it is smaller than the sum of its proper divisors (41680382423328).

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

14463260460000 is a wasteful number, since it uses less digits than its factorization.

14463260460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9865 (or 9839 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 14463260460000 its reverse (6406236441), we get a palindrome (14469666696441).

The spelling of 14463260460000 in words is "fourteen trillion, four hundred sixty-three billion, two hundred sixty million, four hundred sixty thousand".