14645314944 has 256 divisors, whose sum is σ = 46721304000. Its totient is φ = 4489592832.

The previous prime is 14645314909. The next prime is 14645314949. The reversal of 14645314944 is 44941354641.

14645314944 is a `hidden beast` number, since 1 + 464 + 5 + 3 + 149 + 44 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14645314944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14645314949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18375154 + ... + 18375950.

Almost surely, 2^14645314944 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 14645314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23360652000).

14645314944 is an abundant number, since it is smaller than the sum of its proper divisors (32075989056).

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

14645314944 is a wasteful number, since it uses less digits than its factorization.

14645314944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1224 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 14645314944 in words is "fourteen billion, six hundred forty-five million, three hundred fourteen thousand, nine hundred forty-four".