834758149801 has 9 divisors (see below), whose sum is σ = 837488799511. Its totient is φ = 832036383472.

The previous prime is 834758149789. The next prime is 834758149817. The reversal of 834758149801 is 108941857438.

The square root of 834758149801 is 913651.

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

834758149801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 136570898025 + 698187251776 = 369555^2 + 835576^2 .

It is not a de Polignac number, because 834758149801 - 2²⁹ = 834221278889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (834758149831) 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, 317035581 + ... + 317038213.

Almost surely, 2^834758149801 is an apocalyptic number.

834758149801 is the 913651-st square number.

834758149801 is the 456826-th centered octagonal number.

It is an amenable number.

834758149801 is a deficient number, since it is larger than the sum of its proper divisors (2730649710).

834758149801 is an frugal number, since it uses more digits than its factorization.

834758149801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 834758149801 in words is "eight hundred thirty-four billion, seven hundred fifty-eight million, one hundred forty-nine thousand, eight hundred one".