14563563840 has 672 divisors, whose sum is σ = 60881483520. Its totient is φ = 3121348608.

The previous prime is 14563563829. The next prime is 14563563869. The reversal of 14563563840 is 4836536541.

14563563840 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 3 + 5 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73926622 + ... + 73926818.

Almost surely, 2^14563563840 is an apocalyptic number.

14563563840 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 14563563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30440741760).

14563563840 is an abundant number, since it is smaller than the sum of its proper divisors (46317919680).

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

14563563840 is a wasteful number, since it uses less digits than its factorization.

14563563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 14563563840 in words is "fourteen billion, five hundred sixty-three million, five hundred sixty-three thousand, eight hundred forty".