14149841664 has 144 divisors (see below), whose sum is σ = 43131997440. Its totient is φ = 4034088960.

The previous prime is 14149841663. The next prime is 14149841681. The reversal of 14149841664 is 46614894141.

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

It is not an unprimeable number, because it can be changed into a prime (14149841663) 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, 2733799 + ... + 2738969.

It is an arithmetic number, because the mean of its divisors is an integer number (299527760).

Almost surely, 2^14149841664 is an apocalyptic number.

14149841664 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 14149841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21565998720).

14149841664 is an abundant number, since it is smaller than the sum of its proper divisors (28982155776).

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

14149841664 is an equidigital number, since it uses as much as digits as its factorization.

14149841664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5706 (or 5692 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 14149841664 in words is "fourteen billion, one hundred forty-nine million, eight hundred forty-one thousand, six hundred sixty-four".