14661672889905 has 144 divisors (see below), whose sum is σ = 27281555196480. Its totient is φ = 7282252118016.

The previous prime is 14661672889901. The next prime is 14661672889937. The reversal of 14661672889905 is 50998827616641.

14661672889905 is a `hidden beast` number, since 1 + 466 + 1 + 6 + 72 + 8 + 8 + 9 + 90 + 5 = 666.

It is not a de Polignac number, because 14661672889905 - 2² = 14661672889901 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14661672889901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 485422534 + ... + 485452736.

It is an arithmetic number, because the mean of its divisors is an integer number (189455244420).

Almost surely, 2^{14661672889905} is an apocalyptic number.

14661672889905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14661672889905 is a deficient number, since it is larger than the sum of its proper divisors (12619882306575).

14661672889905 is a wasteful number, since it uses less digits than its factorization.

14661672889905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30640 (or 30620 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 14661672889905 in words is "fourteen trillion, six hundred sixty-one billion, six hundred seventy-two million, eight hundred eighty-nine thousand, nine hundred five".