14845465152 has 336 divisors, whose sum is σ = 51989857920. Its totient is φ = 3953442816.

The previous prime is 14845465147. The next prime is 14845465157. The reversal of 14845465152 is 25156454841.

14845465152 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 546 + 51 + 52 = 666.

14845465152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14845465147) and next prime (14845465157).

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 14845465098 and 14845465107.

It is not an unprimeable number, because it can be changed into a prime (14845465157) 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, 7470303 + ... + 7472289.

It is an arithmetic number, because the mean of its divisors is an integer number (154731720).

Almost surely, 2^14845465152 is an apocalyptic number.

14845465152 is a gapful number since it is divisible by the number (12) 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 14845465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25994928960).

14845465152 is an abundant number, since it is smaller than the sum of its proper divisors (37144392768).

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

14845465152 is a wasteful number, since it uses less digits than its factorization.

14845465152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2125 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The spelling of 14845465152 in words is "fourteen billion, eight hundred forty-five million, four hundred sixty-five thousand, one hundred fifty-two".