12676162498272 has 1440 divisors, whose sum is σ = 47642972332032. Its totient is φ = 3235424145408.

The previous prime is 12676162498247. The next prime is 12676162498303. The reversal of 12676162498272 is 27289426167621.

12676162498272 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 61 + 62 + 498 + 27 + 2 = 666.

12676162498272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16745260518 + ... + 16745261274.

Almost surely, 2^{12676162498272} is an apocalyptic number.

12676162498272 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 12676162498272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23821486166016).

12676162498272 is an abundant number, since it is smaller than the sum of its proper divisors (34966809833760).

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

12676162498272 is a wasteful number, since it uses less digits than its factorization.

12676162498272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 952 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 12676162498272 in words is "twelve trillion, six hundred seventy-six billion, one hundred sixty-two million, four hundred ninety-eight thousand, two hundred seventy-two".