34801020779121 has 15 divisors (see below), whose sum is σ = 51986789364873. Its totient is φ = 23200645123980.

The previous prime is 34801020779101. The next prime is 34801020779159. The reversal of 34801020779121 is 12197702010843.

The square root of 34801020779121 is 5899239.

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

34801020779121 is a `hidden beast` number, since 3 + 480 + 10 + 2 + 0 + 77 + 91 + 2 + 1 = 666.

It is not a de Polignac number, because 34801020779121 - 2²³ = 34801012390513 is a prime.

It is a super-2 number, since 2×34801020779121² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34801020779101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 52765416 + ... + 53420886.

Almost surely, 2^{34801020779121} is an apocalyptic number.

34801020779121 is the 5899239-th square number.

34801020779121 is the 2949620-th centered octagonal number.

It is an amenable number.

34801020779121 is a deficient number, since it is larger than the sum of its proper divisors (17185768585752).

34801020779121 is an frugal number, since it uses more digits than its factorization.

34801020779121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310954 (or 655474 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

Adding to 34801020779121 its reverse (12197702010843), we get a palindrome (46998722789964).

The spelling of 34801020779121 in words is "thirty-four trillion, eight hundred one billion, twenty million, seven hundred seventy-nine thousand, one hundred twenty-one".