12948961343976 has 120 divisors (see below), whose sum is σ = 42190564346370. Its totient is φ = 3699703232064.

The previous prime is 12948961343947. The next prime is 12948961343993. The reversal of 12948961343976 is 67934316984921.

12948961343976 is a `hidden beast` number, since 1 + 2 + 9 + 489 + 6 + 13 + 43 + 97 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12442339116900 + 506622227076 = 3527370^2 + 711774^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 203876055 + ... + 203939558.

Almost surely, 2^{12948961343976} is an apocalyptic number.

It is an amenable number.

12948961343976 is an abundant number, since it is smaller than the sum of its proper divisors (29241603002394).

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

12948961343976 is a wasteful number, since it uses less digits than its factorization.

12948961343976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407815645 (or 407815625 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 12948961343976 in words is "twelve trillion, nine hundred forty-eight billion, nine hundred sixty-one million, three hundred forty-three thousand, nine hundred seventy-six".