21146553334305 has 36 divisors (see below), whose sum is σ = 42638356523412. Its totient is φ = 9666995808960.

The previous prime is 21146553334243. The next prime is 21146553334321. The reversal of 21146553334305 is 50343335564112.

21146553334305 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 6 + 5 + 5 + 3 + 334 + 305 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12827199554064 + 8319353780241 = 3581508^2 + 2884329^2 .

It is not a de Polignac number, because 21146553334305 - 2²² = 21146549140001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4795134606 + ... + 4795139015.

It is an arithmetic number, because the mean of its divisors is an integer number (1184398792317).

Almost surely, 2^{21146553334305} is an apocalyptic number.

It is an amenable number.

21146553334305 is an abundant number, since it is smaller than the sum of its proper divisors (21491803189107).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21146553334305 is a wasteful number, since it uses less digits than its factorization.

21146553334305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9590273646 (or 9590273636 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

Adding to 21146553334305 its reverse (50343335564112), we get a palindrome (71489888898417).

The spelling of 21146553334305 in words is "twenty-one trillion, one hundred forty-six billion, five hundred fifty-three million, three hundred thirty-four thousand, three hundred five".