21266464464201 has 128 divisors (see below), whose sum is σ = 33102365184000. Its totient is φ = 12009254400000.

The previous prime is 21266464464199. The next prime is 21266464464293. The reversal of 21266464464201 is 10246446466212.

It is not a de Polignac number, because 21266464464201 - 2¹ = 21266464464199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21266464464601) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11808141501 + ... + 11808143301.

It is an arithmetic number, because the mean of its divisors is an integer number (258612228000).

Almost surely, 2^{21266464464201} is an apocalyptic number.

It is an amenable number.

21266464464201 is a deficient number, since it is larger than the sum of its proper divisors (11835900719799).

21266464464201 is a wasteful number, since it uses less digits than its factorization.

21266464464201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071.

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 21266464464201 in words is "twenty-one trillion, two hundred sixty-six billion, four hundred sixty-four million, four hundred sixty-four thousand, two hundred one".