12849170761476 has 729 divisors, whose sum is σ = 41009614371999. Its totient is φ = 3512079575424.

The previous prime is 12849170761387. The next prime is 12849170761477. The reversal of 12849170761476 is 67416707194821.

The square root of 12849170761476 is 3584574.

It is a perfect power (a square), and thus also a powerful number.

12849170761476 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 9 + 1 + 7 + 0 + 7 + 614 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 650077763076 + 12199092998400 = 806274^2 + 3492720^2 .

It is a tau number, because it is divible by the number of its divisors (729).

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

It is not an unprimeable number, because it can be changed into a prime (12849170761477) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 117882300510 + ... + 117882300618.

Almost surely, 2^{12849170761476} is an apocalyptic number.

12849170761476 is the 3584574-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12849170761476

12849170761476 is an abundant number, since it is smaller than the sum of its proper divisors (28160443610523).

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

12849170761476 is an frugal number, since it uses more digits than its factorization.

12849170761476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 12849170761476 in words is "twelve trillion, eight hundred forty-nine billion, one hundred seventy million, seven hundred sixty-one thousand, four hundred seventy-six".