14466065825970 has 96 divisors (see below), whose sum is σ = 41046685153344. Its totient is φ = 3505586409600.

The previous prime is 14466065825969. The next prime is 14466065825977. The reversal of 14466065825970 is 7952856066441.

14466065825970 is a `hidden beast` number, since 1 + 4 + 46 + 6 + 0 + 6 + 582 + 5 + 9 + 7 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14466065825898 and 14466065825907.

It is not an unprimeable number, because it can be changed into a prime (14466065825977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192732 + ... + 5382311.

It is an arithmetic number, because the mean of its divisors is an integer number (427569637014).

Almost surely, 2^{14466065825970} is an apocalyptic number.

14466065825970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14466065825970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20523342576672).

14466065825970 is an abundant number, since it is smaller than the sum of its proper divisors (26580619327374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14466065825970 is a wasteful number, since it uses less digits than its factorization.

14466065825970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577688 (or 5577685 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 14466065825970 in words is "fourteen trillion, four hundred sixty-six billion, sixty-five million, eight hundred twenty-five thousand, nine hundred seventy".