20115682472601 has 33 divisors (see below), whose sum is σ = 30174988258911. Its totient is φ = 13409728403472.

The previous prime is 20115682472591. The next prime is 20115682472609. The reversal of 20115682472601 is 10627428651102.

The square root of 20115682472601 is 4485051.

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

20115682472601 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 568 + 24 + 7 + 2 + 60 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14862528488025 + 5253153984576 = 3855195^2 + 2291976^2 .

It is not a de Polignac number, because 20115682472601 - 2⁵ = 20115682472569 is a prime.

It is a super-2 number, since 2×20115682472601² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20115682472609) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 1089858165 + ... + 1089876621.

Almost surely, 2^{20115682472601} is an apocalyptic number.

20115682472601 is the 4485051-st square number.

20115682472601 is the 2242526-th centered octagonal number.

It is an amenable number.

20115682472601 is a deficient number, since it is larger than the sum of its proper divisors (10059305786310).

20115682472601 is an frugal number, since it uses more digits than its factorization.

20115682472601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36944 (or 18460 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 20115682472601 in words is "twenty trillion, one hundred fifteen billion, six hundred eighty-two million, four hundred seventy-two thousand, six hundred one".