14545944 has 192 divisors, whose sum is σ = 49920000. Its totient is φ = 3810240.

The previous prime is 14545891. The next prime is 14545961. The reversal of 14545944 is 44954541.

14545944 is a `hidden beast` number, since 14 + 54 + 594 + 4 = 666.

It is a super-2 number, since 2×14545944² = 423168973702272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14545899 and 14545908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469209 + ... + 469239.

It is an arithmetic number, because the mean of its divisors is an integer number (260000).

Almost surely, 2^14545944 is an apocalyptic number.

14545944 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 14545944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24960000).

14545944 is an abundant number, since it is smaller than the sum of its proper divisors (35374056).

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

14545944 is a wasteful number, since it uses less digits than its factorization.

14545944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 14545944 is about 3813.9145244748. The cubic root of 14545944 is about 244.1072269020.

The spelling of 14545944 in words is "fourteen million, five hundred forty-five thousand, nine hundred forty-four".