21438706562667 has 24 divisors (see below), whose sum is σ = 31017687901200. Its totient is φ = 14269091278848.

The previous prime is 21438706562627. The next prime is 21438706562719. The reversal of 21438706562667 is 76626560783412.

It is a happy number.

21438706562667 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 8 + 7 + 0 + 6 + 562 + 6 + 67 = 666.

It is not a de Polignac number, because 21438706562667 - 2²³ = 21438698174059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21438706562627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50850043 + ... + 51269915.

It is an arithmetic number, because the mean of its divisors is an integer number (1292403662550).

Almost surely, 2^{21438706562667} is an apocalyptic number.

21438706562667 is a deficient number, since it is larger than the sum of its proper divisors (9578981338533).

21438706562667 is a wasteful number, since it uses less digits than its factorization.

21438706562667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429147 (or 429144 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 21438706562667 in words is "twenty-one trillion, four hundred thirty-eight billion, seven hundred six million, five hundred sixty-two thousand, six hundred sixty-seven".