20626417161 has 45 divisors (see below), whose sum is σ = 34792876391. Its totient is φ = 11774460096.

The previous prime is 20626417151. The next prime is 20626417187. The reversal of 20626417161 is 16171462602.

The square root of 20626417161 is 143619.

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

20626417161 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 641 + 7 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19297377225 + 1329039936 = 138915^2 + 36456^2 .

It is not a de Polignac number, because 20626417161 - 2⁵ = 20626417129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20626417151) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21111505 + ... + 21112481.

Almost surely, 2^20626417161 is an apocalyptic number.

20626417161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20626417161 is the 143619-th square number.

20626417161 is the 71810-th centered octagonal number.

It is an amenable number.

20626417161 is a deficient number, since it is larger than the sum of its proper divisors (14166459230).

20626417161 is an frugal number, since it uses more digits than its factorization.

20626417161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 20626417161 by its sum of digits (36), we get a square (742551017796 = 861714²).

Adding to 20626417161 its reverse (16171462602), we get a palindrome (36797879763).

The spelling of 20626417161 in words is "twenty billion, six hundred twenty-six million, four hundred seventeen thousand, one hundred sixty-one".