14763816960 has 384 divisors, whose sum is σ = 50193561600. Its totient is φ = 3698196480.

The previous prime is 14763816931. The next prime is 14763816967. The reversal of 14763816960 is 6961836741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14763816967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35235631 + ... + 35236049.

It is an arithmetic number, because the mean of its divisors is an integer number (130712400).

Almost surely, 2^14763816960 is an apocalyptic number.

14763816960 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 14763816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25096780800).

14763816960 is an abundant number, since it is smaller than the sum of its proper divisors (35429744640).

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

14763816960 is a wasteful number, since it uses less digits than its factorization.

14763816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 14763816960 in words is "fourteen billion, seven hundred sixty-three million, eight hundred sixteen thousand, nine hundred sixty".