834849517401 has 27 divisors (see below), whose sum is σ = 1214534835423. Its totient is φ = 552606364800.

The previous prime is 834849517331. The next prime is 834849517409. The reversal of 834849517401 is 104715948438.

The square root of 834849517401 is 913701.

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

834849517401 is a `hidden beast` number, since 8 + 3 + 4 + 84 + 9 + 517 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 706129299225 + 128720218176 = 840315^2 + 358776^2 .

It is not a de Polignac number, because 834849517401 - 2¹³ = 834849509209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (834849517409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 413905545 + ... + 413907561.

Almost surely, 2^834849517401 is an apocalyptic number.

834849517401 is the 913701-st square number.

834849517401 is the 456851-st centered octagonal number.

It is an amenable number.

834849517401 is a deficient number, since it is larger than the sum of its proper divisors (379685318022).

834849517401 is an frugal number, since it uses more digits than its factorization.

834849517401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 834849517401 in words is "eight hundred thirty-four billion, eight hundred forty-nine million, five hundred seventeen thousand, four hundred one".