10714137728 has 72 divisors (see below), whose sum is σ = 24848410995. Its totient is φ = 4588260096.

The previous prime is 10714137713. The next prime is 10714137737. The reversal of 10714137728 is 82773141701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5357068864 + 5357068864 = 73192^2 + 73192^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=73192.

It is a super-2 number, since 2×10714137728² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8196851 + ... + 8198157.

Almost surely, 2^10714137728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10714137728

10714137728 is an abundant number, since it is smaller than the sum of its proper divisors (14134273267).

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

10714137728 is an frugal number, since it uses more digits than its factorization.

10714137728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 41.

The spelling of 10714137728 in words is "ten billion, seven hundred fourteen million, one hundred thirty-seven thousand, seven hundred twenty-eight".