12275664416460 has 72 divisors (see below), whose sum is σ = 37253673213120. Its totient is φ = 3271972827648.

The previous prime is 12275664416453. The next prime is 12275664416513. The reversal of 12275664416460 is 6461446657221.

12275664416460 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 566 + 4 + 4 + 16 + 4 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12275664416397 and 12275664416406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15633252 + ... + 16399691.

It is an arithmetic number, because the mean of its divisors is an integer number (517412127960).

Almost surely, 2^{12275664416460} is an apocalyptic number.

12275664416460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12275664416460 is an abundant number, since it is smaller than the sum of its proper divisors (24978008796660).

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

12275664416460 is a wasteful number, since it uses less digits than its factorization.

12275664416460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32035087 (or 32035082 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 12275664416460 in words is "twelve trillion, two hundred seventy-five billion, six hundred sixty-four million, four hundred sixteen thousand, four hundred sixty".