14895318144 has 256 divisors, whose sum is σ = 47462215680. Its totient is φ = 4046794752.

The previous prime is 14895318143. The next prime is 14895318181. The reversal of 14895318144 is 44181359841.

It is a super-2 number, since 2×14895318144² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14895318093 and 14895318102.

It is not an unprimeable number, because it can be changed into a prime (14895318143) 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, 12178717 + ... + 12179939.

It is an arithmetic number, because the mean of its divisors is an integer number (185399280).

Almost surely, 2^14895318144 is an apocalyptic number.

14895318144 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 14895318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23731107840).

14895318144 is an abundant number, since it is smaller than the sum of its proper divisors (32566897536).

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

14895318144 is a wasteful number, since it uses less digits than its factorization.

14895318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1455 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The spelling of 14895318144 in words is "fourteen billion, eight hundred ninety-five million, three hundred eighteen thousand, one hundred forty-four".