14289775920 has 960 divisors, whose sum is σ = 60914851200. Its totient is φ = 3065610240.

The previous prime is 14289775861. The next prime is 14289775921. The reversal of 14289775920 is 2957798241.

14289775920 is a `hidden beast` number, since 1 + 42 + 8 + 9 + 7 + 7 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14289775921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160559236 + ... + 160559324.

It is an arithmetic number, because the mean of its divisors is an integer number (63452970).

Almost surely, 2^14289775920 is an apocalyptic number.

14289775920 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 14289775920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30457425600).

14289775920 is an abundant number, since it is smaller than the sum of its proper divisors (46625075280).

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

14289775920 is a wasteful number, since it uses less digits than its factorization.

14289775920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 14289775920 in words is "fourteen billion, two hundred eighty-nine million, seven hundred seventy-five thousand, nine hundred twenty".