21676967361 has 189 divisors, whose sum is σ = 40898301363. Its totient is φ = 11448682560.

The previous prime is 21676967321. The next prime is 21676967383. The reversal of 21676967361 is 16376967612.

It is a happy number.

The square root of 21676967361 is 147231.

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

21676967361 is a `hidden beast` number, since 2 + 167 + 69 + 67 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1044517761 + 20632449600 = 32319^2 + 143640^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 21676967361 - 2¹⁹ = 21676443073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21676967298 and 21676967307.

It is not an unprimeable number, because it can be changed into a prime (21676967311) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 528706501 + ... + 528706541.

Almost surely, 2^21676967361 is an apocalyptic number.

21676967361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21676967361 is the 147231-st square number.

21676967361 is the 73616-th centered octagonal number.

It is an amenable number.

21676967361 is a deficient number, since it is larger than the sum of its proper divisors (19221334002).

21676967361 is an frugal number, since it uses more digits than its factorization.

21676967361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 70 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 21676967361 in words is "twenty-one billion, six hundred seventy-six million, nine hundred sixty-seven thousand, three hundred sixty-one".