14545123264 has 224 divisors, whose sum is σ = 35098914816. Its totient is φ = 5851422720.

The previous prime is 14545123259. The next prime is 14545123289. The reversal of 14545123264 is 46232154541.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×14545123264² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65224657 + ... + 65224879.

It is an arithmetic number, because the mean of its divisors is an integer number (156691584).

Almost surely, 2^14545123264 is an apocalyptic number.

14545123264 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 14545123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549457408).

14545123264 is an abundant number, since it is smaller than the sum of its proper divisors (20553791552).

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

14545123264 is a wasteful number, since it uses less digits than its factorization.

14545123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its digits is 115200, while the sum is 37.

The spelling of 14545123264 in words is "fourteen billion, five hundred forty-five million, one hundred twenty-three thousand, two hundred sixty-four".