14494260960 has 768 divisors, whose sum is σ = 56391552000. Its totient is φ = 3463741440.

The previous prime is 14494260857. The next prime is 14494260961. The reversal of 14494260960 is 6906249441.

14494260960 is a `hidden beast` number, since 14 + 494 + 2 + 60 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14494260961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 198551484 + ... + 198551556.

It is an arithmetic number, because the mean of its divisors is an integer number (73426500).

Almost surely, 2^14494260960 is an apocalyptic number.

14494260960 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 14494260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28195776000).

14494260960 is an abundant number, since it is smaller than the sum of its proper divisors (41897291040).

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

14494260960 is a wasteful number, since it uses less digits than its factorization.

14494260960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 14494260960 in words is "fourteen billion, four hundred ninety-four million, two hundred sixty thousand, nine hundred sixty".