2089134907456 has 63 divisors (see below), whose sum is σ = 4200604361919. Its totient is φ = 1030894121088.

The previous prime is 2089134907427. The next prime is 2089134907571. The reversal of 2089134907456 is 6547094319802.

The square root of 2089134907456 is 1445384.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2089134907456.

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, 913481545 + ... + 913483831.

It is an arithmetic number, because the mean of its divisors is an integer number (66676259713).

It is a 1-persistent number, because it is pandigital, but 2⋅2089134907456 = 4178269814912 is not.

Almost surely, 2^{2089134907456} is an apocalyptic number.

2089134907456 is the 1445384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2089134907456

2089134907456 is an abundant number, since it is smaller than the sum of its proper divisors (2111469454463).

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

2089134907456 is an frugal number, since it uses more digits than its factorization.

2089134907456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 2089134907456 in words is "two trillion, eighty-nine billion, one hundred thirty-four million, nine hundred seven thousand, four hundred fifty-six".