14444193856 has 63 divisors (see below), whose sum is σ = 29173365453. Its totient is φ = 7095663360.

The previous prime is 14444193833. The next prime is 14444193877. The reversal of 14444193856 is 65839144441.

The square root of 14444193856 is 120184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 159163456 + 14285030400 = 12616^2 + 119520^2 .

It is a super-2 number, since 2×14444193856² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (1658880) is a multiple of the sum of its prime factors (540).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79802086 + ... + 79802266.

Almost surely, 2^14444193856 is an apocalyptic number.

14444193856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14444193856 is the 120184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14444193856

14444193856 is an abundant number, since it is smaller than the sum of its proper divisors (14729171597).

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

14444193856 is an frugal number, since it uses more digits than its factorization.

14444193856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 266 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

Multiplying 14444193856 by its sum of digits (49), we get a square (707765498944 = 841288²).

The spelling of 14444193856 in words is "fourteen billion, four hundred forty-four million, one hundred ninety-three thousand, eight hundred fifty-six".