14412774445056 has 637 divisors, whose sum is σ = 46814382695809. Its totient is φ = 4434699829248.

The previous prime is 14412774445037. The next prime is 14412774445063. The reversal of 14412774445056 is 65054447721441.

The square root of 14412774445056 is 3796416.

The cubic root of 14412774445056 is 24336.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

14412774445056 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 27 + 74 + 44 + 505 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12365631590400 + 2047142854656 = 3516480^2 + 1430784^2 .

It is a super-3 number, since 3×14412774445056³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14412774444993 and 14412774445011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 1108674957306 + ... + 1108674957318.

Almost surely, 2^{14412774445056} is an apocalyptic number.

14412774445056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14412774445056 is the 3796416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14412774445056

14412774445056 is an abundant number, since it is smaller than the sum of its proper divisors (32401608250753).

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

14412774445056 is an frugal number, since it uses more digits than its factorization.

14412774445056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 14412774445056 in words is "fourteen trillion, four hundred twelve billion, seven hundred seventy-four million, four hundred forty-five thousand, fifty-six".