14946800273352 has 24 divisors (see below), whose sum is σ = 40480917407190. Its totient is φ = 4982266757760.

The previous prime is 14946800273311. The next prime is 14946800273393. The reversal of 14946800273352 is 25337200864941.

14946800273352 is a `hidden beast` number, since 1 + 494 + 6 + 80 + 0 + 2 + 73 + 3 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (14946800273311) and next prime (14946800273393).

It can be written as a sum of positive squares in only one way, i.e., 14604427837476 + 342372435876 = 3821574^2 + 585126^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×14946800273352² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103797224049 + ... + 103797224192.

It is a 1-persistent number, because it is pandigital, but 2⋅14946800273352 = 29893600546704 is not.

Almost surely, 2^{14946800273352} is an apocalyptic number.

14946800273352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14946800273352 is an abundant number, since it is smaller than the sum of its proper divisors (25534117133838).

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

14946800273352 is a wasteful number, since it uses less digits than its factorization.

14946800273352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207594448253 (or 207594448246 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 14946800273352 in words is "fourteen trillion, nine hundred forty-six billion, eight hundred million, two hundred seventy-three thousand, three hundred fifty-two".