12769416493056 has 72 divisors (see below), whose sum is σ = 36880419270240. Its totient is φ = 4256472158208.

The previous prime is 12769416493039. The next prime is 12769416493091. The reversal of 12769416493056 is 65039461496721.

It is a happy number.

12769416493056 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 94 + 1 + 6 + 493 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×12769416493056³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12769416492984 and 12769416493002.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 346374160 + ... + 346411023.

It is an arithmetic number, because the mean of its divisors is an integer number (512228045420).

Almost surely, 2^{12769416493056} is an apocalyptic number.

12769416493056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12769416493056 is an abundant number, since it is smaller than the sum of its proper divisors (24111002777184).

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

12769416493056 is an equidigital number, since it uses as much as digits as its factorization.

12769416493056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692785211 (or 692785188 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 12769416493056 in words is "twelve trillion, seven hundred sixty-nine billion, four hundred sixteen million, four hundred ninety-three thousand, fifty-six".