14264907582464 has 176 divisors, whose sum is σ = 35918809221120. Its totient is φ = 5500456796160.

The previous prime is 14264907582463. The next prime is 14264907582479. The reversal of 14264907582464 is 46428570946241.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×14264907582464² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14264907582397 and 14264907582406.

It is not an unprimeable number, because it can be changed into a prime (14264907582463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6715697 + ... + 8580815.

Almost surely, 2^{14264907582464} is an apocalyptic number.

14264907582464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14264907582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17959404610560).

14264907582464 is an abundant number, since it is smaller than the sum of its proper divisors (21653901638656).

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

14264907582464 is a wasteful number, since it uses less digits than its factorization.

14264907582464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865254 (or 1865236 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 62.

The spelling of 14264907582464 in words is "fourteen trillion, two hundred sixty-four billion, nine hundred seven million, five hundred eighty-two thousand, four hundred sixty-four".