21363566410641 has 64 divisors (see below), whose sum is σ = 36907321651200. Its totient is φ = 10674449485056.

The previous prime is 21363566410559. The next prime is 21363566410723. The reversal of 21363566410641 is 14601466536312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21363566410559) and next prime (21363566410723).

It is not a de Polignac number, because 21363566410641 - 2³⁸ = 21088688503697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21363566410141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48731500 + ... + 49167938.

It is an arithmetic number, because the mean of its divisors is an integer number (576676900800).

Almost surely, 2^{21363566410641} is an apocalyptic number.

21363566410641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21363566410641 is a deficient number, since it is larger than the sum of its proper divisors (15543755240559).

21363566410641 is a wasteful number, since it uses less digits than its factorization.

21363566410641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445918.

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 21363566410641 in words is "twenty-one trillion, three hundred sixty-three billion, five hundred sixty-six million, four hundred ten thousand, six hundred forty-one".