34652194801 has 45 divisors (see below), whose sum is σ = 42189230603. Its totient is φ = 28458764880.

The previous prime is 34652194793. The next prime is 34652194879. The reversal of 34652194801 is 10849125643.

The square root of 34652194801 is 186151.

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., 18170770401 + 16481424400 = 134799^2 + 128380^2 .

It is not a de Polignac number, because 34652194801 - 2³ = 34652194793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34652191801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 264520506 + ... + 264520636.

Almost surely, 2^34652194801 is an apocalyptic number.

34652194801 is the 186151-st square number.

34652194801 is the 93076-th centered octagonal number.

It is an amenable number.

34652194801 is a deficient number, since it is larger than the sum of its proper divisors (7537035802).

34652194801 is an frugal number, since it uses more digits than its factorization.

34652194801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 34652194801 in words is "thirty-four billion, six hundred fifty-two million, one hundred ninety-four thousand, eight hundred one".