14166644544 has 336 divisors, whose sum is σ = 46772565840. Its totient is φ = 4060938240.

The previous prime is 14166644537. The next prime is 14166644551. The reversal of 14166644544 is 44544666141.

It is an interprime number because it is at equal distance from previous prime (14166644537) and next prime (14166644551).

It can be written as a sum of positive squares in 8 ways, for example, as 127238400 + 14039406144 = 11280^2 + 118488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14166644544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13874754 + ... + 13875774.

It is an arithmetic number, because the mean of its divisors is an integer number (139204065).

Almost surely, 2^14166644544 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 14166644544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23386282920).

14166644544 is an abundant number, since it is smaller than the sum of its proper divisors (32605921296).

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

14166644544 is a wasteful number, since it uses less digits than its factorization.

14166644544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1165 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 14166644544 in words is "fourteen billion, one hundred sixty-six million, six hundred forty-four thousand, five hundred forty-four".