14563382120 has 256 divisors, whose sum is σ = 39965184000. Its totient is φ = 4768727040.

The previous prime is 14563382101. The next prime is 14563382131. The reversal of 14563382120 is 2128336541.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41255864 + ... + 41256216.

It is an arithmetic number, because the mean of its divisors is an integer number (156114000).

Almost surely, 2^14563382120 is an apocalyptic number.

14563382120 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 14563382120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19982592000).

14563382120 is an abundant number, since it is smaller than the sum of its proper divisors (25401801880).

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

14563382120 is a wasteful number, since it uses less digits than its factorization.

14563382120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 14563382120 in words is "fourteen billion, five hundred sixty-three million, three hundred eighty-two thousand, one hundred twenty".