14945417184 has 96 divisors (see below), whose sum is σ = 39910993920. Its totient is φ = 4896133632.

The previous prime is 14945417183. The next prime is 14945417197. The reversal of 14945417184 is 48171454941.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14945417183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1686814 + ... + 1695650.

It is an arithmetic number, because the mean of its divisors is an integer number (415739520).

Almost surely, 2^14945417184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14945417184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19955496960).

14945417184 is an abundant number, since it is smaller than the sum of its proper divisors (24965576736).

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

14945417184 is a wasteful number, since it uses less digits than its factorization.

14945417184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9152 (or 9144 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The spelling of 14945417184 in words is "fourteen billion, nine hundred forty-five million, four hundred seventeen thousand, one hundred eighty-four".