14496056352 has 96 divisors (see below), whose sum is σ = 42613401600. Its totient is φ = 4793935104.

The previous prime is 14496056347. The next prime is 14496056371. The reversal of 14496056352 is 25365069441.

14496056352 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 6 + 0 + 5 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14496056298 and 14496056307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43674 + ... + 175782.

It is an arithmetic number, because the mean of its divisors is an integer number (443889600).

Almost surely, 2^14496056352 is an apocalyptic number.

14496056352 is a gapful number since it is divisible by the number (12) 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 14496056352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21306700800).

14496056352 is an abundant number, since it is smaller than the sum of its proper divisors (28117345248).

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

14496056352 is a wasteful number, since it uses less digits than its factorization.

14496056352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132255 (or 132241 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 14496056352 in words is "fourteen billion, four hundred ninety-six million, fifty-six thousand, three hundred fifty-two".