21417657413667 has 8 divisors (see below), whose sum is σ = 28556899103424. Its totient is φ = 14278426999848.

The previous prime is 21417657413657. The next prime is 21417657413707. The reversal of 21417657413667 is 76631475671412.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21417657413667 - 2¹⁸ = 21417657151523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21417657413667.

It is not an unprimeable number, because it can be changed into a prime (21417657413657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3902428 + ... + 7619990.

It is an arithmetic number, because the mean of its divisors is an integer number (3569612387928).

Almost surely, 2^{21417657413667} is an apocalyptic number.

21417657413667 is a deficient number, since it is larger than the sum of its proper divisors (7139241689757).

21417657413667 is a wasteful number, since it uses less digits than its factorization.

21417657413667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637969.

The product of its digits is 35562240, while the sum is 60.

The spelling of 21417657413667 in words is "twenty-one trillion, four hundred seventeen billion, six hundred fifty-seven million, four hundred thirteen thousand, six hundred sixty-seven".