14385490560 has 288 divisors, whose sum is σ = 57786218100. Its totient is φ = 3288047616.

The previous prime is 14385490541. The next prime is 14385490589. The reversal of 14385490560 is 6509458341.

14385490560 is a `hidden beast` number, since 1 + 4 + 3 + 85 + 4 + 9 + 0 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13398525504 + 986965056 = 115752^2 + 31416^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×14385490560² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256756 + ... + 307724.

Almost surely, 2^14385490560 is an apocalyptic number.

14385490560 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 14385490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28893109050).

14385490560 is an abundant number, since it is smaller than the sum of its proper divisors (43400727540).

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

14385490560 is a wasteful number, since it uses less digits than its factorization.

14385490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51008 (or 50986 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 14385490560 in words is "fourteen billion, three hundred eighty-five million, four hundred ninety thousand, five hundred sixty".