7129455370816 has 63 divisors (see below), whose sum is σ = 14393910009049. Its totient is φ = 3503689107968.

The previous prime is 7129455370813. The next prime is 7129455370823. The reversal of 7129455370816 is 6180735549217.

The square root of 7129455370816 is 2670104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 709839950400 + 6419615420416 = 842520^2 + 2533696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7129455370811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1260286260 + ... + 1260291916.

It is a 2-persistent number, because it is pandigital, and so is 2⋅7129455370816 = 14258910741632, but 3⋅7129455370816 = 21388366112448 is not.

Almost surely, 2^{7129455370816} is an apocalyptic number.

7129455370816 is the 2670104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7129455370816

7129455370816 is an abundant number, since it is smaller than the sum of its proper divisors (7264454638233).

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

7129455370816 is an frugal number, since it uses more digits than its factorization.

7129455370816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11444 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 7129455370816 in words is "seven trillion, one hundred twenty-nine billion, four hundred fifty-five million, three hundred seventy thousand, eight hundred sixteen".