14728905536 has 112 divisors (see below), whose sum is σ = 31888547856. Its totient is φ = 6721634304.

The previous prime is 14728905523. The next prime is 14728905557. The reversal of 14728905536 is 63550982741.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 232745536 + 14496160000 = 15256^2 + 120400^2 .

It is a super-2 number, since 2×14728905536² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23871500 + ... + 23872116.

It is a 1-persistent number, because it is pandigital, but 2⋅14728905536 = 29457811072 is not.

Almost surely, 2^14728905536 is an apocalyptic number.

14728905536 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 14728905536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944273928).

14728905536 is an abundant number, since it is smaller than the sum of its proper divisors (17159642320).

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

14728905536 is a wasteful number, since it uses less digits than its factorization.

14728905536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 14728905536 in words is "fourteen billion, seven hundred twenty-eight million, nine hundred five thousand, five hundred thirty-six".