14539541856 has 288 divisors, whose sum is σ = 47454634080. Its totient is φ = 3872784384.

The previous prime is 14539541843. The next prime is 14539541897. The reversal of 14539541856 is 65814593541.

It is a super-3 number, since 3×14539541856³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 14539541799 and 14539541808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9035580 + ... + 9037188.

It is an arithmetic number, because the mean of its divisors is an integer number (164773035).

Almost surely, 2^14539541856 is an apocalyptic number.

14539541856 is a gapful number since it is divisible by the number (16) 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 14539541856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23727317040).

14539541856 is an abundant number, since it is smaller than the sum of its proper divisors (32915092224).

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

14539541856 is a wasteful number, since it uses less digits than its factorization.

14539541856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1751 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 51.

The spelling of 14539541856 in words is "fourteen billion, five hundred thirty-nine million, five hundred forty-one thousand, eight hundred fifty-six".