14632505217 has 192 divisors, whose sum is σ = 26687232000. Its totient is φ = 7614351360.

The previous prime is 14632505191. The next prime is 14632505231. The reversal of 14632505217 is 71250523641.

14632505217 is a `hidden beast` number, since 1 + 4 + 632 + 5 + 0 + 5 + 2 + 17 = 666.

It is not a de Polignac number, because 14632505217 - 2⁸ = 14632504961 is a prime.

It is a super-2 number, since 2×14632505217² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14632505297) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98204659 + ... + 98204807.

It is an arithmetic number, because the mean of its divisors is an integer number (138996000).

Almost surely, 2^14632505217 is an apocalyptic number.

14632505217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

14632505217 is a deficient number, since it is larger than the sum of its proper divisors (12054726783).

14632505217 is a wasteful number, since it uses less digits than its factorization.

14632505217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 14632505217 in words is "fourteen billion, six hundred thirty-two million, five hundred five thousand, two hundred seventeen".